2565756000 has 240 divisors, whose sum is σ = 9418368960. Its totient is φ = 684115200.

The previous prime is 2565755999. The next prime is 2565756031. The reversal of 2565756000 is 6575652.

2565756000 is a `hidden beast` number, since 25 + 6 + 575 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 320041 + ... + 327959.

It is an arithmetic number, because the mean of its divisors is an integer number (39243204).

Almost surely, 2^2565756000 is an apocalyptic number.

2565756000 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 2565756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709184480).

2565756000 is an abundant number, since it is smaller than the sum of its proper divisors (6852612960).

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

2565756000 is an equidigital number, since it uses as much as digits as its factorization.

2565756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 2565756000 is about 50653.2920943940. The cubic root of 2565756000 is about 1369.0052629570.

The spelling of 2565756000 in words is "two billion, five hundred sixty-five million, seven hundred fifty-six thousand".