2588253696 has 240 divisors, whose sum is σ = 8914585680. Its totient is φ = 739307520.

The previous prime is 2588253677. The next prime is 2588253697. The reversal of 2588253696 is 6963528852.

2588253696 is a `hidden beast` number, since 2 + 588 + 2 + 53 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588253697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675466 + ... + 679286.

It is an arithmetic number, because the mean of its divisors is an integer number (37144107).

Almost surely, 2^2588253696 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 2588253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2588253696 is an abundant number, since it is smaller than the sum of its proper divisors (6326331984).

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

2588253696 is an equidigital number, since it uses as much as digits as its factorization.

2588253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3833 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2588253696 is about 50874.8827615357. The cubic root of 2588253696 is about 1372.9949745077.

The spelling of 2588253696 in words is "two billion, five hundred eighty-eight million, two hundred fifty-three thousand, six hundred ninety-six".