2580560 has 20 divisors (see below), whose sum is σ = 5999988. Its totient is φ = 1032192.

The previous prime is 2580547. The next prime is 2580563. The reversal of 2580560 is 650852.

It can be written as a sum of positive squares in 2 ways, for example, as 795664 + 1784896 = 892^2 + 1336^2 .

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

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580563) 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, 16049 + ... + 16208.

2^2580560 is an apocalyptic number.

2580560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580560 is an abundant number, since it is smaller than the sum of its proper divisors (3419428).

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

2580560 is a wasteful number, since it uses less digits than its factorization.

2580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32270 (or 32264 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2580560 is about 1606.4121513485. The cubic root of 2580560 is about 137.1633195327.

The spelling of 2580560 in words is "two million, five hundred eighty thousand, five hundred sixty".