2590560 has 144 divisors (see below), whose sum is σ = 10142496. Its totient is φ = 589824.

The previous prime is 2590547. The next prime is 2590583. The reversal of 2590560 is 650952.

2590560 is digitally balanced in base 5, 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 (144).

It is a super-2 number, since 2×2590560² = 13422002227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9952 + ... + 10208.

It is an arithmetic number, because the mean of its divisors is an integer number (70434).

2^2590560 is an apocalyptic number.

2590560 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 2590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071248).

2590560 is an abundant number, since it is smaller than the sum of its proper divisors (7551936).

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

2590560 is a wasteful number, since it uses less digits than its factorization.

2590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2590560 is about 1609.5216680741. The cubic root of 2590560 is about 137.3402662999.

The spelling of 2590560 in words is "two million, five hundred ninety thousand, five hundred sixty".