2556116550 has 432 divisors, whose sum is σ = 8230388400. Its totient is φ = 566092800.

The previous prime is 2556116509. The next prime is 2556116557. The reversal of 2556116550 is 556116552.

2556116550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556116557) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41903520 + ... + 41903580.

It is an arithmetic number, because the mean of its divisors is an integer number (19051825).

Almost surely, 2^2556116550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556116550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115194200).

2556116550 is an abundant number, since it is smaller than the sum of its proper divisors (5674271850).

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

2556116550 is a wasteful number, since it uses less digits than its factorization.

2556116550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 2556116550 is about 50558.0512876040. The cubic root of 2556116550 is about 1367.2886774668.

The spelling of 2556116550 in words is "two billion, five hundred fifty-six million, one hundred sixteen thousand, five hundred fifty".