2556919680 has 768 divisors, whose sum is σ = 10744565760. Its totient is φ = 504299520.

The previous prime is 2556919619. The next prime is 2556919691. The reversal of 2556919680 is 869196552.

2556919680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82481265 + ... + 82481295.

It is an arithmetic number, because the mean of its divisors is an integer number (13990320).

Almost surely, 2^2556919680 is an apocalyptic number.

2556919680 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 2556919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372282880).

2556919680 is an abundant number, since it is smaller than the sum of its proper divisors (8187646080).

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

2556919680 is a wasteful number, since it uses less digits than its factorization.

2556919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 2556919680 is about 50565.9933156662. The cubic root of 2556919680 is about 1367.4318628479.

The spelling of 2556919680 in words is "two billion, five hundred fifty-six million, nine hundred nineteen thousand, six hundred eighty".