2582164 has 48 divisors (see below), whose sum is σ = 5419008. Its totient is φ = 1064448.

The previous prime is 2582161. The next prime is 2582171. The reversal of 2582164 is 4612852.

2582164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582161) 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 15 ways as a sum of consecutive naturals, for example, 20269 + ... + 20395.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

2^2582164 is an apocalyptic number.

It is an amenable number.

2582164 is an abundant number, since it is smaller than the sum of its proper divisors (2836844).

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

2582164 is a wasteful number, since it uses less digits than its factorization.

2582164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2582164 is about 1606.9113230045. The cubic root of 2582164 is about 137.1917325382.

The spelling of 2582164 in words is "two million, five hundred eighty-two thousand, one hundred sixty-four".