2570560 has 56 divisors (see below), whose sum is σ = 6355080. Its totient is φ = 989184.

The previous prime is 2570539. The next prime is 2570563. The reversal of 2570560 is 650752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 2509056 = 248^2 + 1584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9142 + ... + 9418.

2^2570560 is an apocalyptic number.

2570560 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 2570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177540).

2570560 is an abundant number, since it is smaller than the sum of its proper divisors (3784520).

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

2570560 is a wasteful number, since it uses less digits than its factorization.

2570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 2570560 is about 1603.2966038759. The cubic root of 2570560 is about 136.9859150455.

The spelling of 2570560 in words is "two million, five hundred seventy thousand, five hundred sixty".