2564803872 has 192 divisors, whose sum is σ = 8115811200. Its totient is φ = 784834560.

The previous prime is 2564803867. The next prime is 2564803897. The reversal of 2564803872 is 2783084652.

2564803872 is a `hidden beast` number, since 2 + 564 + 8 + 0 + 3 + 87 + 2 = 666.

2564803872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 600079 + ... + 604337.

It is an arithmetic number, because the mean of its divisors is an integer number (42269850).

Almost surely, 2^2564803872 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 2564803872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057905600).

2564803872 is an abundant number, since it is smaller than the sum of its proper divisors (5551007328).

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

2564803872 is a wasteful number, since it uses less digits than its factorization.

2564803872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2564803872 is about 50643.8927413760. The cubic root of 2564803872 is about 1368.8359003323.

The spelling of 2564803872 in words is "two billion, five hundred sixty-four million, eight hundred three thousand, eight hundred seventy-two".