2579985 has 32 divisors (see below), whose sum is σ = 4752000. Its totient is φ = 1326528.

The previous prime is 2579977. The next prime is 2579989. The reversal of 2579985 is 5899752.

It is a happy number.

2579985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2579985 - 2³ = 2579977 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2579985.

It is not an unprimeable number, because it can be changed into a prime (2579989) 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 31 ways as a sum of consecutive naturals, for example, 3586 + ... + 4244.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

2^2579985 is an apocalyptic number.

It is an amenable number.

2579985 is a deficient number, since it is larger than the sum of its proper divisors (2172015).

2579985 is a wasteful number, since it uses less digits than its factorization.

2579985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 2579985 is about 1606.2331711181. The cubic root of 2579985 is about 137.1531312057.

The spelling of 2579985 in words is "two million, five hundred seventy-nine thousand, nine hundred eighty-five".