2956655520 has 960 divisors, whose sum is σ = 13523811840. Its totient is φ = 591224832.

The previous prime is 2956655489. The next prime is 2956655539. The reversal of 2956655520 is 255566592.

2956655520 is a `hidden beast` number, since 2 + 95 + 6 + 6 + 5 + 552 + 0 = 666.

2956655520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27125226 + ... + 27125334.

It is an arithmetic number, because the mean of its divisors is an integer number (14087304).

Almost surely, 2^2956655520 is an apocalyptic number.

2956655520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761905920).

2956655520 is an abundant number, since it is smaller than the sum of its proper divisors (10567156320).

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

2956655520 is a wasteful number, since it uses less digits than its factorization.

2956655520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 2956655520 is about 54375.1369653447. The cubic root of 2956655520 is about 1435.2698962615.

The spelling of 2956655520 in words is "two billion, nine hundred fifty-six million, six hundred fifty-five thousand, five hundred twenty".