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2880640644 = 2237296611789
BaseRepresentation
bin1010101110110011…
…0001011010000100
321102202102201002020
42223230301122010
521344421000034
61153502043140
7131246020140
oct25354613204
97382381066
102880640644
111249056a52
126848794b0
1336ba530bb
141d4816220
1511cd68249
hexabb31684

2880640644 has 96 divisors (see below), whose sum is σ = 7963065600. Its totient is φ = 793013760.

The previous prime is 2880640601. The next prime is 2880640657. The reversal of 2880640644 is 4460460882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2880640596 and 2880640605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609302 + ... + 1611090.

It is an arithmetic number, because the mean of its divisors is an integer number (82948600).

Almost surely, 22880640644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880640644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981532800).

2880640644 is an abundant number, since it is smaller than the sum of its proper divisors (5082424956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2880640644 is a wasteful number, since it uses less digits than its factorization.

2880640644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2880640644 is about 53671.5999761513. The cubic root of 2880640644 is about 1422.8628094540.

The spelling of 2880640644 in words is "two billion, eight hundred eighty million, six hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 661 812 1218 1322 1789 1983 2436 2644 3578 3966 4627 5367 7156 7932 9254 10734 12523 13881 18508 19169 21468 25046 27762 37569 38338 50092 51881 55524 57507 75138 76676 103762 115014 134183 150276 155643 207524 230028 268366 311286 363167 402549 536732 622572 726334 805098 1089501 1182529 1452668 1610196 2179002 2365058 3547587 4358004 4730116 7095174 8277703 14190348 16555406 24833109 33110812 34293341 49666218 68586682 99332436 102880023 137173364 205760046 240053387 411520092 480106774 720160161 960213548 1440320322 2880640644