2504008 has 16 divisors (see below), whose sum is σ = 5056380. Its totient is φ = 1155648.

The previous prime is 2503999. The next prime is 2504009. The reversal of 2504008 is 8004052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2490084 + 13924 = 1578^2 + 118^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2504009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11935 + ... + 12142.

2^2504008 is an apocalyptic number.

It is an amenable number.

2504008 is an abundant number, since it is smaller than the sum of its proper divisors (2552372).

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

2504008 is a wasteful number, since it uses less digits than its factorization.

2504008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24096 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2504008 is about 1582.4057633869. The cubic root of 2504008 is about 135.7933713433.

It can be divided in two parts, 2 and 504008, that multiplied together give a square (1008016 = 1004²).

The spelling of 2504008 in words is "two million, five hundred four thousand, eight".