2579265 has 24 divisors (see below), whose sum is σ = 4815720. Its totient is φ = 1269504.

The previous prime is 2579249. The next prime is 2579273. The reversal of 2579265 is 5629752.

2579265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 2537649 = 204^2 + 1593^2 .

It is not a de Polignac number, because 2579265 - 2⁴ = 2579249 is a prime.

It is a super-3 number, since 3×2579265³ = 51476516456833303875, which contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1620 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

2^2579265 is an apocalyptic number.

It is an amenable number.

2579265 is a deficient number, since it is larger than the sum of its proper divisors (2236455).

2579265 is a wasteful number, since it uses less digits than its factorization.

2579265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4430 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2579265 is about 1606.0090286172. The cubic root of 2579265 is about 137.1403715137.

The spelling of 2579265 in words is "two million, five hundred seventy-nine thousand, two hundred sixty-five".