2564661528 has 240 divisors, whose sum is σ = 8489626200. Its totient is φ = 717050880.

The previous prime is 2564661499. The next prime is 2564661551. The reversal of 2564661528 is 8251664652.

2564661528 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 6 + 615 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1203568 + ... + 1205696.

Almost surely, 2^2564661528 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 2564661528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244813100).

2564661528 is an abundant number, since it is smaller than the sum of its proper divisors (5924964672).

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

2564661528 is a wasteful number, since it uses less digits than its factorization.

2564661528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2158 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2564661528 is about 50642.4873796697. The cubic root of 2564661528 is about 1368.8105768649.

The spelling of 2564661528 in words is "two billion, five hundred sixty-four million, six hundred sixty-one thousand, five hundred twenty-eight".