2155656672 has 384 divisors, whose sum is σ = 7207280640. Its totient is φ = 622080000.

The previous prime is 2155656611. The next prime is 2155656689. The reversal of 2155656672 is 2766565512.

2155656672 is a `hidden beast` number, since 2 + 15 + 5 + 6 + 566 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14275797 + ... + 14275947.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 2^2155656672 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 2155656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603640320).

2155656672 is an abundant number, since it is smaller than the sum of its proper divisors (5051623968).

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

2155656672 is a wasteful number, since it uses less digits than its factorization.

2155656672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 2155656672 is about 46429.0498718206. The cubic root of 2155656672 is about 1291.7938051771.

The spelling of 2155656672 in words is "two billion, one hundred fifty-five million, six hundred fifty-six thousand, six hundred seventy-two".