2656312560 has 480 divisors, whose sum is σ = 10456205760. Its totient is φ = 597196800.

The previous prime is 2656312541. The next prime is 2656312627. The reversal of 2656312560 is 652136562.

It is a happy number.

2656312560 is a `hidden beast` number, since 2 + 65 + 6 + 31 + 2 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 14675670 + ... + 14675850.

It is an arithmetic number, because the mean of its divisors is an integer number (21783762).

Almost surely, 2^2656312560 is an apocalyptic number.

2656312560 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 2656312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228102880).

2656312560 is an abundant number, since it is smaller than the sum of its proper divisors (7799893200).

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

2656312560 is a wasteful number, since it uses less digits than its factorization.

2656312560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2656312560 is about 51539.4272377953. The cubic root of 2656312560 is about 1384.9254366059.

The spelling of 2656312560 in words is "two billion, six hundred fifty-six million, three hundred twelve thousand, five hundred sixty".