2656865120 has 192 divisors, whose sum is σ = 7766793216. Its totient is φ = 836352000.

The previous prime is 2656865117. The next prime is 2656865177. The reversal of 2656865120 is 215686562.

It is a super-2 number, since 2×2656865120² = 14117864531745228800, which contains 22 as substring.

It is a congruent number.

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, 3654197 + ... + 3654923.

It is an arithmetic number, because the mean of its divisors is an integer number (40452048).

Almost surely, 2^2656865120 is an apocalyptic number.

2656865120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883396608).

2656865120 is an abundant number, since it is smaller than the sum of its proper divisors (5109928096).

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

2656865120 is a wasteful number, since it uses less digits than its factorization.

2656865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 2656865120 is about 51544.7875153250. The cubic root of 2656865120 is about 1385.0214596109.

The spelling of 2656865120 in words is "two billion, six hundred fifty-six million, eight hundred sixty-five thousand, one hundred twenty".