2565247608 has 480 divisors, whose sum is σ = 9438249600. Its totient is φ = 622339200.

The previous prime is 2565247543. The next prime is 2565247609. The reversal of 2565247608 is 8067425652.

2565247608 is a `hidden beast` number, since 2 + 56 + 524 + 76 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565247609) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36130213 + ... + 36130283.

It is an arithmetic number, because the mean of its divisors is an integer number (19663020).

Almost surely, 2^2565247608 is an apocalyptic number.

2565247608 is a gapful number since it is divisible by the number (28) 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 2565247608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719124800).

2565247608 is an abundant number, since it is smaller than the sum of its proper divisors (6873001992).

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

2565247608 is a wasteful number, since it uses less digits than its factorization.

2565247608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2565247608 is about 50648.2734947599. The cubic root of 2565247608 is about 1368.9148364189.

The spelling of 2565247608 in words is "two billion, five hundred sixty-five million, two hundred forty-seven thousand, six hundred eight".