2505164 has 12 divisors (see below), whose sum is σ = 4446288. Its totient is φ = 1234800.

The previous prime is 2505163. The next prime is 2505187. The reversal of 2505164 is 4615052.

2505164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2505161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4127 + ... + 4694.

It is an arithmetic number, because the mean of its divisors is an integer number (370524).

2^2505164 is an apocalyptic number.

It is an amenable number.

2505164 is a deficient number, since it is larger than the sum of its proper divisors (1941124).

2505164 is a wasteful number, since it uses less digits than its factorization.

2505164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2505164 is about 1582.7709878564. The cubic root of 2505164 is about 135.8142649117.

The spelling of 2505164 in words is "two million, five hundred five thousand, one hundred sixty-four".