2556354816 has 360 divisors, whose sum is σ = 8096398464. Its totient is φ = 801239040.

The previous prime is 2556354809. The next prime is 2556354833. The reversal of 2556354816 is 6184536552.

2556354816 is a `hidden beast` number, since 2 + 5 + 5 + 635 + 4 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41907426 + ... + 41907486.

Almost surely, 2^2556354816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048199232).

2556354816 is an abundant number, since it is smaller than the sum of its proper divisors (5540043648).

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

2556354816 is an equidigital number, since it uses as much as digits as its factorization.

2556354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2556354816 is about 50560.4075932938. The cubic root of 2556354816 is about 1367.3311596562.

The spelling of 2556354816 in words is "two billion, five hundred fifty-six million, three hundred fifty-four thousand, eight hundred sixteen".