2580264 has 24 divisors (see below), whose sum is σ = 6988410. Its totient is φ = 860064.

The previous prime is 2580251. The next prime is 2580287. The reversal of 2580264 is 4620852.

It can be written as a sum of positive squares in only one way, i.e., 2377764 + 202500 = 1542^2 + 450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17847 + ... + 17990.

2^2580264 is an apocalyptic number.

2580264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2580264 is an abundant number, since it is smaller than the sum of its proper divisors (4408146).

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

2580264 is a wasteful number, since it uses less digits than its factorization.

2580264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35849 (or 35842 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2580264 is about 1606.3200179292. The cubic root of 2580264 is about 137.1580749482.

The spelling of 2580264 in words is "two million, five hundred eighty thousand, two hundred sixty-four".