2582508 has 48 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 806400.

The previous prime is 2582501. The next prime is 2582543. The reversal of 2582508 is 8052852.

It is not an unprimeable number, because it can be changed into a prime (2582501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14178 + ... + 14358.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

2^2582508 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 2582508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

2582508 is an abundant number, since it is smaller than the sum of its proper divisors (3838452).

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

2582508 is a wasteful number, since it uses less digits than its factorization.

2582508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2582508 is about 1607.0183570825. The cubic root of 2582508 is about 137.1978245681.

The spelling of 2582508 in words is "two million, five hundred eighty-two thousand, five hundred eight".