2570880 has 128 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 626688.

The previous prime is 2570851. The next prime is 2570891. The reversal of 2570880 is 880752.

2570880 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24909 + ... + 25011.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2^2570880 is an apocalyptic number.

2570880 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 2570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

2570880 is an abundant number, since it is smaller than the sum of its proper divisors (6339840).

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

2570880 is a wasteful number, since it uses less digits than its factorization.

2570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2570880 is about 1603.3963951562. The cubic root of 2570880 is about 136.9915991084.

The spelling of 2570880 in words is "two million, five hundred seventy thousand, eight hundred eighty".