2579472 has 80 divisors (see below), whose sum is σ = 8471680. Its totient is φ = 736128.

The previous prime is 2579453. The next prime is 2579477. The reversal of 2579472 is 2749752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2579477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598 + ... + 3450.

It is an arithmetic number, because the mean of its divisors is an integer number (105896).

2^2579472 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 2579472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235840).

2579472 is an abundant number, since it is smaller than the sum of its proper divisors (5892208).

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

2579472 is a wasteful number, since it uses less digits than its factorization.

2579472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2579472 is about 1606.0734727901. The cubic root of 2579472 is about 137.1440401684.

It can be divided in two parts, 25 and 79472, that added together give a palindrome (79497).

The spelling of 2579472 in words is "two million, five hundred seventy-nine thousand, four hundred seventy-two".