2566375920 has 160 divisors (see below), whose sum is σ = 9125130240. Its totient is φ = 662273280.

The previous prime is 2566375901. The next prime is 2566375993. The reversal of 2566375920 is 295736652.

2566375920 is a `hidden beast` number, since 2 + 5 + 6 + 637 + 5 + 9 + 2 + 0 = 666.

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

It is a congruent number.

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, 47797 + ... + 86123.

It is an arithmetic number, because the mean of its divisors is an integer number (57032064).

Almost surely, 2^2566375920 is an apocalyptic number.

2566375920 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 2566375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562565120).

2566375920 is an abundant number, since it is smaller than the sum of its proper divisors (6558754320).

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

2566375920 is a wasteful number, since it uses less digits than its factorization.

2566375920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38380 (or 38368 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2566375920 is about 50659.4109717040. The cubic root of 2566375920 is about 1369.1155105671.

The spelling of 2566375920 in words is "two billion, five hundred sixty-six million, three hundred seventy-five thousand, nine hundred twenty".