2656265400 has 240 divisors, whose sum is σ = 9628066800. Its totient is φ = 677445120.

The previous prime is 2656265393. The next prime is 2656265413. The reversal of 2656265400 is 45626562.

2656265400 is a `hidden beast` number, since 26 + 5 + 626 + 5 + 4 + 0 + 0 = 666.

2656265400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 369036 + ... + 376164.

It is an arithmetic number, because the mean of its divisors is an integer number (40116945).

Almost surely, 2^2656265400 is an apocalyptic number.

2656265400 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 2656265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814033400).

2656265400 is an abundant number, since it is smaller than the sum of its proper divisors (6971801400).

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

2656265400 is a wasteful number, since it uses less digits than its factorization.

2656265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2656265400 is about 51538.9697219492. The cubic root of 2656265400 is about 1384.9172405987.

The spelling of 2656265400 in words is "two billion, six hundred fifty-six million, two hundred sixty-five thousand, four hundred".