2579952 has 40 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 844480.

The previous prime is 2579939. The next prime is 2579963. The reversal of 2579952 is 2599752.

It is a self number, because there is not a number n which added to its sum of digits gives 2579952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2377 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

2^2579952 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 2579952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2579952 is an abundant number, since it is smaller than the sum of its proper divisors (4205328).

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

2579952 is a wasteful number, since it uses less digits than its factorization.

2579952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 2579952 is about 1606.2228986041. Note that the first 3 decimals coincide. The cubic root of 2579952 is about 137.1525464384.

Subtracting from 2579952 its product of digits (56700), we obtain a palindrome (2523252).

The spelling of 2579952 in words is "two million, five hundred seventy-nine thousand, nine hundred fifty-two".