2505204 has 72 divisors (see below), whose sum is σ = 7017192. Its totient is φ = 748800.

The previous prime is 2505193. The next prime is 2505227. The reversal of 2505204 is 4025052.

It can be written as a sum of positive squares in 4 ways, for example, as 810000 + 1695204 = 900^2 + 1302^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24754 + ... + 24854.

It is an arithmetic number, because the mean of its divisors is an integer number (97461).

2^2505204 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 2505204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508596).

2505204 is an abundant number, since it is smaller than the sum of its proper divisors (4511988).

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

2505204 is a wasteful number, since it uses less digits than its factorization.

2505204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2505204 is about 1582.7836238728. The cubic root of 2505204 is about 135.8149877574.

The spelling of 2505204 in words is "two million, five hundred five thousand, two hundred four".