2588625 has 64 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 1252800.

The previous prime is 2588611. The next prime is 2588629. The reversal of 2588625 is 5268852.

2588625 is a `hidden beast` number, since 25 + 8 + 8 + 625 = 666.

It is not a de Polignac number, because 2588625 - 2¹² = 2584529 is a prime.

Its product of digits (38400) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2588625.

It is not an unprimeable number, because it can be changed into a prime (2588629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43846 + ... + 43904.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^2588625 is an apocalyptic number.

2588625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2588625 is an abundant number, since it is smaller than the sum of its proper divisors (2652975).

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

2588625 is a wasteful number, since it uses less digits than its factorization.

2588625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2588625 is about 1608.9204455162. The cubic root of 2588625 is about 137.3060626772.

The spelling of 2588625 in words is "two million, five hundred eighty-eight thousand, six hundred twenty-five".