2579772 has 48 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 758208.

The previous prime is 2579741. The next prime is 2579777. The reversal of 2579772 is 2779752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2579772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3229 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

2^2579772 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 2579772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2579772 is an abundant number, since it is smaller than the sum of its proper divisors (4193988).

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

2579772 is a wasteful number, since it uses less digits than its factorization.

2579772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its digits is 61740, while the sum is 39.

The square root of 2579772 is about 1606.1668655529. The cubic root of 2579772 is about 137.1493567108.

It can be divided in two parts, 25 and 79772, that added together give a palindrome (79797).

The spelling of 2579772 in words is "two million, five hundred seventy-nine thousand, seven hundred seventy-two".