2556080 has 40 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 1008128.

The previous prime is 2556079. The next prime is 2556091. The reversal of 2556080 is 806552.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6941 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

2^2556080 is an apocalyptic number.

2556080 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 2556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013200).

2556080 is an abundant number, since it is smaller than the sum of its proper divisors (3470320).

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

2556080 is a wasteful number, since it uses less digits than its factorization.

2556080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

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

The square root of 2556080 is about 1598.7745306953. The cubic root of 2556080 is about 136.7282160466.

The spelling of 2556080 in words is "two million, five hundred fifty-six thousand, eighty".