2564272656 has 240 divisors, whose sum is σ = 8368446528. Its totient is φ = 730414080.

The previous prime is 2564272651. The next prime is 2564272687. The reversal of 2564272656 is 6562724652.

2564272656 is a `hidden beast` number, since 2 + 564 + 27 + 2 + 65 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2564272651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3257895 + ... + 3258681.

Almost surely, 2^2564272656 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 2564272656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184223264).

2564272656 is an abundant number, since it is smaller than the sum of its proper divisors (5804173872).

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

2564272656 is a wasteful number, since it uses less digits than its factorization.

2564272656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 820 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2564272656 is about 50638.6478492465. The cubic root of 2564272656 is about 1368.7413904757.

The spelling of 2564272656 in words is "two billion, five hundred sixty-four million, two hundred seventy-two thousand, six hundred fifty-six".