2056731264 has 320 divisors, whose sum is σ = 7411124160. Its totient is φ = 552738816.

The previous prime is 2056731263. The next prime is 2056731311. The reversal of 2056731264 is 4621376502.

2056731264 is a `hidden beast` number, since 2 + 0 + 567 + 31 + 2 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056731263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1232959 + ... + 1234625.

It is an arithmetic number, because the mean of its divisors is an integer number (23159763).

Almost surely, 2^2056731264 is an apocalyptic number.

2056731264 is a gapful number since it is divisible by the number (24) 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 2056731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705562080).

2056731264 is an abundant number, since it is smaller than the sum of its proper divisors (5354392896).

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

2056731264 is a wasteful number, since it uses less digits than its factorization.

2056731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2056731264 is about 45351.1991462188. The cubic root of 2056731264 is about 1271.7229727789.

The spelling of 2056731264 in words is "two billion, fifty-six million, seven hundred thirty-one thousand, two hundred sixty-four".