2562664 has 32 divisors (see below), whose sum is σ = 5309640. Its totient is φ = 1152000.

The previous prime is 2562661. The next prime is 2562667. The reversal of 2562664 is 4662652.

It is an interprime number because it is at equal distance from previous prime (2562661) and next prime (2562667).

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 1020100 = 1242^2 + 1010^2 .

It is not an unprimeable number, because it can be changed into a prime (2562661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3964 + ... + 4564.

2^2562664 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 2562664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654820).

2562664 is an abundant number, since it is smaller than the sum of its proper divisors (2746976).

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

2562664 is a wasteful number, since it uses less digits than its factorization.

2562664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 2562664 is about 1600.8322835325. The cubic root of 2562664 is about 136.8455111163.

The spelling of 2562664 in words is "two million, five hundred sixty-two thousand, six hundred sixty-four".