| ||||
|---|---|---|---|---|
| Cardinal | two thousand | |||
| Ordinal | 2000th (two thousandth) | |||
| Factorization | 24 × 53 | |||
| Greek numeral | ,Β´ | |||
| Roman numeral | MM, mm | |||
| Unicode symbol(s) | MM, mm | |||
| Binary | 111110100002 | |||
| Ternary | 22020023 | |||
| Senary | 131326 | |||
| Octal | 37208 | |||
| Duodecimal | 11A812 | |||
| Hexadecimal | 7D016 | |||
| Armenian | Ս | |||
| Egyptian hieroglyph | 𓆽 | |||
2000 (two thousand) is a natural number following 1999 and preceding 2001.
2000 is:
2002 = 2 × 7 × 11 × 13. It is a palindromic number in decimal, base 76, 90, 142, and 11 other non-trivial bases.
2003 is a Sophie Germain prime.
2005 = 5 × 401. It is a vertically symmetric number.
2011 is a sexy prime with 2017. It is also the sum of eleven consecutive primes: 2011 = 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211
2015 = 5 × 13 × 31. It is a Lucas–Carmichael number.
2016 = 25 × 32 × 7. It is the second-smallest Erdős–Nicolas numberand a triangular number.
2017 is a sexy prime with 2011.
2024 = 23 × 11 × 23. It is a tetrahedral number.
2025 = 452, square of the sum of the first nine positive integers (and therefore sum of the cubes of the first nine positive integers, by Nicomachus's theorem), centered octagonal number, lowest number with exactly 15 odd divisors. Sum of odd numbers from 1 to 89.
2027 is a super-prime and a safe prime.
2029 is a prime number and a member of the Mian–Chowla sequence.
2031 = 3 × 677. It is a centered pentagonal number.
2035 = 5 × 11 × 37. It is a Wolstenholme number.
2036 = 22 × 509. It is an Eulerian number.
2039 is a Sophie Germain prime and a safe prime.
2047 = 23 × 89 = 211 − 1 and it is the first Mersenne number that is composite for a prime exponent. It is a super-Poulet number, a Woodall number, a decagonal number, and a centered octahedral number.
2048
2048=2^11
2053 is a prime number and a star number.
2056 = 23 × 257. It is the magic constant of an n × n normal magic square and the n-queens problem for n = 16.
2063 is a Sophie Germain prime, a safe prime, and a super-prime.
2066 = 2 × 1033. It is a Bell number.
2069 is a Sophie Germain prime.
2080 = 25 × 5 × 13. It is a triangular number.
2081, 2083, 2087, and 2089 form a prime quadruplet.
2081 is also a super-prime.
2099 is a super-prime, a safe prime, and a highly cototient number.
2101 = 11 × 191. It is a centered heptagonal number.
2107 and 2108 form a Ruth–Aaron pair under the first definition.
2109 = 3 × 19 × 37. It is a square pyramidal number.
2113 is a Proth prime and a centered square number.
2116 = 462 = 22 × 232.
2125 = 53 × 17. It is a nonagonal number.
2129 is a Sophie Germain prime.
2141 is a Sophie Germain prime.
2145 = 3 × 5 × 11 × 13. It is a triangular number.
2160 = 24 × 33 × 5. It is a largely composite number.
2176 = 27 × 17. It is a pentagonal pyramidal number and a centered pentagonal number.
2179 is a prime number and a Wedderburn–Etherington number.
2187 = 37. It is a vampire number and a perfect totient number.
2188 = 22 × 547. It is a Motzkin number.
2199 = 3 × 733. It is a perfect totient number.
2201 – only known non-palindromic number whose cube is palindromic; also no known fourth or higher powers are palindromic for non-palindromic numbers
2207 – safe prime, Lucas prime
2208 – Keith number
2209 = 472, palindromic in base 14 (B3B14), centered octagonal number
2211 – triangular number
2221 – super-prime, happy number
2223 – Kaprekar number
2232 – decagonal number
2245 – centered square number
2254 – member of the Mian–Chowla sequence
2255 – octahedral number
2269 – super-prime, cuban prime
2273 – Sophie Germain prime
2276 _ centered heptagonal number
2278 – triangular number
2281 – star number,
2287 – balanced prime
2299 – member of a Ruth–Aaron pair with 2300 (first definition)
2300 – tetrahedral number, member of a Ruth–Aaron pair with 2299 (first definition)
2301 – nonagonal number
2309 – primorial prime, twin prime with 2311, Mertens function zero, highly cototient number
2310 – fifth primorial
2311 – primorial prime, twin prime with 2309
2326 – centered pentagonal number
2328 – sum of the totient function for the first 87 integers, the number of groups of order 128
2331 – centered cube number
2339 – Sophie Germain prime, twin prime with 2341
2341 – super-prime, twin prime with 2339
2346 – triangular number
2351 – Sophie Germain prime, super-prime
2352 – pronic number
2357 – Smarandache–Wellin prime
2378 – Pell number
2379 – member of the Mian–Chowla sequence
2381 – super-prime, centered square number
2393 – Sophie Germain prime
2399 – Sophie Germain prime
2401 = 492 = 74, centered octagonal number
2415 – triangular number
2417 – super-prime, balanced prime
2425 – decagonal number
2437 – cuban prime, largest right-truncatable prime in base 5
2447 – safe prime
2450 – pronic number
2458 – centered heptagonal number
2459 – Sophie Germain prime, safe prime
2465 – magic constant of n × n normal magic square and n-queens problem for n = 17, Carmichael number
2470 – square pyramidal number
2477 – super-prime, cousin prime
2481 – centered pentagonal number
2484 – nonagonal number
2485 – triangular number, number of planar partitions of 13
2491 = member of Ruth–Aaron pair with 2492 under second definition
2492 – member of Ruth–Aaron pair with 2491 under second definition
There are 127 prime numbers between 2000 and 3000: