2592560 has 40 divisors (see below), whose sum is σ = 6294240. Its totient is φ = 991232.

The previous prime is 2592547. The next prime is 2592581. The reversal of 2592560 is 652952.

2592560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1136 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (157356).

2^2592560 is an apocalyptic number.

2592560 is a gapful number since it is divisible by the number (20) 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 2592560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147120).

2592560 is an abundant number, since it is smaller than the sum of its proper divisors (3701680).

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

2592560 is a wasteful number, since it uses less digits than its factorization.

2592560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 2592560 is about 1610.1428508055. The cubic root of 2592560 is about 137.3756009863.

The spelling of 2592560 in words is "two million, five hundred ninety-two thousand, five hundred sixty".