2277955656 has 96 divisors (see below), whose sum is σ = 6418764000. Its totient is φ = 748538496.

The previous prime is 2277955643. The next prime is 2277955661. The reversal of 2277955656 is 6565597722.

2277955656 is a `hidden beast` number, since 2 + 2 + 7 + 79 + 5 + 565 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150075 + ... + 1152053.

It is an arithmetic number, because the mean of its divisors is an integer number (66862125).

Almost surely, 2^2277955656 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 2277955656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209382000).

2277955656 is an abundant number, since it is smaller than the sum of its proper divisors (4140808344).

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

2277955656 is a wasteful number, since it uses less digits than its factorization.

2277955656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2057 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The square root of 2277955656 is about 47727.9337076308. The cubic root of 2277955656 is about 1315.7753779403.

The spelling of 2277955656 in words is "two billion, two hundred seventy-seven million, nine hundred fifty-five thousand, six hundred fifty-six".