2560880 has 80 divisors (see below), whose sum is σ = 7231680. Its totient is φ = 823296.

The previous prime is 2560871. The next prime is 2560891. The reversal of 2560880 is 880652.

2560880 = T₃₇₁ + T₃₇₂ + ... + T₄₀₄.

It is a happy number.

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

It is a congruent number.

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, 9386 + ... + 9654.

It is an arithmetic number, because the mean of its divisors is an integer number (90396).

2^2560880 is an apocalyptic number.

2560880 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 2560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840).

2560880 is an abundant number, since it is smaller than the sum of its proper divisors (4670800).

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

2560880 is a wasteful number, since it uses less digits than its factorization.

2560880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2560880 is about 1600.2749763712. The cubic root of 2560880 is about 136.8137487179.

The spelling of 2560880 in words is "two million, five hundred sixty thousand, eight hundred eighty".