2564956800 has 384 divisors, whose sum is σ = 10730563200. Its totient is φ = 586137600.

The previous prime is 2564956799. The next prime is 2564956811. The reversal of 2564956800 is 86594652.

2564956800 is a `hidden beast` number, since 2 + 564 + 9 + 5 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602680 + ... + 606920.

It is an arithmetic number, because the mean of its divisors is an integer number (27944175).

Almost surely, 2^2564956800 is an apocalyptic number.

2564956800 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 2564956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365281600).

2564956800 is an abundant number, since it is smaller than the sum of its proper divisors (8165606400).

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

2564956800 is a wasteful number, since it uses less digits than its factorization.

2564956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2564956800 is about 50645.4025554146. The cubic root of 2564956800 is about 1368.8631056843.

The spelling of 2564956800 in words is "two billion, five hundred sixty-four million, nine hundred fifty-six thousand, eight hundred".