2971888656 has 120 divisors (see below), whose sum is σ = 8655687072. Its totient is φ = 871372800.

The previous prime is 2971888603. The next prime is 2971888657. The reversal of 2971888656 is 6568881792.

It is a super-2 number, since 2×2971888656² = 17664244367322972672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2971888656.

It is not an unprimeable number, because it can be changed into a prime (2971888657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504480 + ... + 510336.

Almost surely, 2^2971888656 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 2971888656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327843536).

2971888656 is an abundant number, since it is smaller than the sum of its proper divisors (5683798416).

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

2971888656 is a wasteful number, since it uses less digits than its factorization.

2971888656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5904 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 60.

The square root of 2971888656 is about 54515.0314683941. The cubic root of 2971888656 is about 1437.7305842685.

The spelling of 2971888656 in words is "two billion, nine hundred seventy-one million, eight hundred eighty-eight thousand, six hundred fifty-six".