2555656416 has 72 divisors (see below), whose sum is σ = 7367265360. Its totient is φ = 840208896.

The previous prime is 2555656391. The next prime is 2555656417. The reversal of 2555656416 is 6146565552.

2555656416 is a `hidden beast` number, since 2 + 5 + 556 + 56 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555656417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39756 + ... + 81803.

It is an arithmetic number, because the mean of its divisors is an integer number (102323130).

Almost surely, 2^2555656416 is an apocalyptic number.

It is an amenable number.

2555656416 is an abundant number, since it is smaller than the sum of its proper divisors (4811608944).

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

2555656416 is a wasteful number, since it uses less digits than its factorization.

2555656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121648 (or 121637 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 2555656416 is about 50553.5005316150. The cubic root of 2555656416 is about 1367.2066293350.

The spelling of 2555656416 in words is "two billion, five hundred fifty-five million, six hundred fifty-six thousand, four hundred sixteen".