2592080 has 20 divisors (see below), whose sum is σ = 6026772. Its totient is φ = 1036800.

The previous prime is 2592067. The next prime is 2592089. The reversal of 2592080 is 802952.

It can be written as a sum of positive squares in 2 ways, for example, as 2062096 + 529984 = 1436^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2592089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16121 + ... + 16280.

2^2592080 is an apocalyptic number.

2592080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2592080 is an abundant number, since it is smaller than the sum of its proper divisors (3434692).

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

2592080 is a wasteful number, since it uses less digits than its factorization.

2592080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32414 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2592080 is about 1609.9937888079. The cubic root of 2592080 is about 137.3671223193.

It can be divided in two parts, 25920 and 80, that multiplied together give a square (2073600 = 1440²).

The spelling of 2592080 in words is "two million, five hundred ninety-two thousand, eighty".