2564730792 has 96 divisors (see below), whose sum is σ = 7494275880. Its totient is φ = 787691520.

The previous prime is 2564730761. The next prime is 2564730811. The reversal of 2564730792 is 2970374652.

2564730792 is a `hidden beast` number, since 256 + 4 + 7 + 307 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 861187716 + 1703543076 = 29346^2 + 41274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575292 + ... + 579732.

Almost surely, 2^2564730792 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 2564730792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747137940).

2564730792 is an abundant number, since it is smaller than the sum of its proper divisors (4929545088).

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

2564730792 is a wasteful number, since it uses less digits than its factorization.

2564730792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2564730792 is about 50643.1712277184. The cubic root of 2564730792 is about 1368.8228992762.

The spelling of 2564730792 in words is "two billion, five hundred sixty-four million, seven hundred thirty thousand, seven hundred ninety-two".