2556216192 has 64 divisors (see below), whose sum is σ = 6801584400. Its totient is φ = 850612224.

The previous prime is 2556216191. The next prime is 2556216209. The reversal of 2556216192 is 2916126552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2556216192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556216191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231534 + ... + 242322.

Almost surely, 2^2556216192 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 2556216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400792200).

2556216192 is an abundant number, since it is smaller than the sum of its proper divisors (4245368208).

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

2556216192 is a wasteful number, since it uses less digits than its factorization.

2556216192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11423 (or 11411 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 2556216192 is about 50559.0366996841. The cubic root of 2556216192 is about 1367.3064436896.

The spelling of 2556216192 in words is "two billion, five hundred fifty-six million, two hundred sixteen thousand, one hundred ninety-two".