2556878720 has 128 divisors (see below), whose sum is σ = 6958586880. Its totient is φ = 889292800.

The previous prime is 2556878713. The next prime is 2556878759. The reversal of 2556878720 is 278786552.

It is a happy number.

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

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, 154025 + ... + 169815.

It is an arithmetic number, because the mean of its divisors is an integer number (54363960).

Almost surely, 2^2556878720 is an apocalyptic number.

2556878720 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 2556878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479293440).

2556878720 is an abundant number, since it is smaller than the sum of its proper divisors (4401708160).

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

2556878720 is a wasteful number, since it uses less digits than its factorization.

2556878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The square root of 2556878720 is about 50565.5882987630. The cubic root of 2556878720 is about 1367.4245610532.

The spelling of 2556878720 in words is "two billion, five hundred fifty-six million, eight hundred seventy-eight thousand, seven hundred twenty".