2576560 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 854784.

The previous prime is 2576557. The next prime is 2576573. The reversal of 2576560 is 656752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2576560² = 13277322867200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24027 + ... + 24133.

2^2576560 is an apocalyptic number.

2576560 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 2576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2576560 is an abundant number, since it is smaller than the sum of its proper divisors (4494416).

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

2576560 is a wasteful number, since it uses less digits than its factorization.

2576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 2576560 is about 1605.1666580141. The cubic root of 2576560 is about 137.0924128300.

It can be divided in two parts, 2576 and 560, that added together give a square (3136 = 56²).

The spelling of 2576560 in words is "two million, five hundred seventy-six thousand, five hundred sixty".