2566408032 has 72 divisors (see below), whose sum is σ = 7401073680. Its totient is φ = 843413760.

The previous prime is 2566408027. The next prime is 2566408063. The reversal of 2566408032 is 2308046652.

2566408032 is a `hidden beast` number, since 2 + 5 + 6 + 640 + 8 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2566408032² = 13172900373428226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42307 + ... + 83202.

It is an arithmetic number, because the mean of its divisors is an integer number (102792690).

Almost surely, 2^2566408032 is an apocalyptic number.

It is an amenable number.

2566408032 is an abundant number, since it is smaller than the sum of its proper divisors (4834665648).

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

2566408032 is a wasteful number, since it uses less digits than its factorization.

2566408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125596 (or 125585 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2566408032 is about 50659.7279108366. The cubic root of 2566408032 is about 1369.1212209353.

The spelling of 2566408032 in words is "two billion, five hundred sixty-six million, four hundred eight thousand, thirty-two".