2564790 has 64 divisors (see below), whose sum is σ = 6718464. Its totient is φ = 624128.

The previous prime is 2564759. The next prime is 2564813. The reversal of 2564790 is 974652.

2564790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23917 + ... + 24023.

It is an arithmetic number, because the mean of its divisors is an integer number (104976).

2^2564790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359232).

2564790 is an abundant number, since it is smaller than the sum of its proper divisors (4153674).

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

2564790 is a wasteful number, since it uses less digits than its factorization.

2564790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2564790 is about 1601.4961754559. The cubic root of 2564790 is about 136.8833432499.

The spelling of 2564790 in words is "two million, five hundred sixty-four thousand, seven hundred ninety".