2564407296 has 480 divisors, whose sum is σ = 9059420160. Its totient is φ = 707788800.

The previous prime is 2564407283. The next prime is 2564407301. The reversal of 2564407296 is 6927044652.

2564407296 is a `hidden beast` number, since 2 + 56 + 440 + 72 + 96 = 666.

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, 82722801 + ... + 82722831.

It is an arithmetic number, because the mean of its divisors is an integer number (18873792).

Almost surely, 2^2564407296 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 2564407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529710080).

2564407296 is an abundant number, since it is smaller than the sum of its proper divisors (6495012864).

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

2564407296 is a wasteful number, since it uses less digits than its factorization.

2564407296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2564407296 is about 50639.9772511797. The cubic root of 2564407296 is about 1368.7653458216.

The spelling of 2564407296 in words is "two billion, five hundred sixty-four million, four hundred seven thousand, two hundred ninety-six".