2565324756 has 66 divisors (see below), whose sum is σ = 6734559482. Its totient is φ = 855029520.

The previous prime is 2565324703. The next prime is 2565324809. The reversal of 2565324756 is 6574235652.

2565324756 is a `hidden beast` number, since 2 + 565 + 32 + 4 + 7 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2565324703) and next prime (2565324809).

It can be written as a sum of positive squares in only one way, i.e., 2087027856 + 478296900 = 45684^2 + 21870^2 .

It is a super-2 number, since 2×2565324756² = 13161782207492919072, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 230766 + ... + 241626.

Almost surely, 2^2565324756 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 2565324756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367279741).

2565324756 is an abundant number, since it is smaller than the sum of its proper divisors (4169234726).

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

2565324756 is an equidigital number, since it uses as much as digits as its factorization.

2565324756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10866 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 2565324756 is about 50649.0350944616. The cubic root of 2565324756 is about 1368.9285593285.

The spelling of 2565324756 in words is "two billion, five hundred sixty-five million, three hundred twenty-four thousand, seven hundred fifty-six".