2522664 has 80 divisors (see below), whose sum is σ = 7514100. Its totient is φ = 787968.

The previous prime is 2522659. The next prime is 2522669. The reversal of 2522664 is 4662252.

2522664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2522659) and next prime (2522669).

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 396900 = 1458^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2522669) 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 19 ways as a sum of consecutive naturals, for example, 10902 + ... + 11130.

2^2522664 is an apocalyptic number.

2522664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757050).

2522664 is an abundant number, since it is smaller than the sum of its proper divisors (4991436).

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

2522664 is a wasteful number, since it uses less digits than its factorization.

2522664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2522664 is about 1588.2896461288. The cubic root of 2522664 is about 136.1297780806.

It can be divided in two parts, 252 and 2664, that added together give a square (2916 = 54²).

The spelling of 2522664 in words is "two million, five hundred twenty-two thousand, six hundred sixty-four".