2590164 has 48 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 832608.

The previous prime is 2590157. The next prime is 2590169. The reversal of 2590164 is 4610952.

2590164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590169) 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, 2719 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (144900).

2^2590164 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 2590164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2590164 is an abundant number, since it is smaller than the sum of its proper divisors (4365036).

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

2590164 is a wasteful number, since it uses less digits than its factorization.

2590164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2590164 is about 1609.3986454574. The cubic root of 2590164 is about 137.3332678753. Note that the first 3 decimals are identical.

The spelling of 2590164 in words is "two million, five hundred ninety thousand, one hundred sixty-four".