2582964 has 36 divisors (see below), whose sum is σ = 6585124. Its totient is φ = 853632.

The previous prime is 2582953. The next prime is 2582971. The reversal of 2582964 is 4692852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1542564 + 1040400 = 1242^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5424 + ... + 5880.

2^2582964 is an apocalyptic number.

It is an amenable number.

2582964 is an abundant number, since it is smaller than the sum of its proper divisors (4002160).

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

2582964 is a wasteful number, since it uses less digits than its factorization.

2582964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2582964 is about 1607.1602284775. The cubic root of 2582964 is about 137.2058992157.

The spelling of 2582964 in words is "two million, five hundred eighty-two thousand, nine hundred sixty-four".