2971834656 has 192 divisors, whose sum is σ = 9153720576. Its totient is φ = 826675200.

The previous prime is 2971834643. The next prime is 2971834673. The reversal of 2971834656 is 6564381792.

It is a junction number, because it is equal to n+sod(n) for n = 2971834599 and 2971834608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6446266 + ... + 6446726.

It is an arithmetic number, because the mean of its divisors is an integer number (47675628).

Almost surely, 2^2971834656 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 2971834656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576860288).

2971834656 is an abundant number, since it is smaller than the sum of its proper divisors (6181885920).

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

2971834656 is a wasteful number, since it uses less digits than its factorization.

2971834656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 2971834656 is about 54514.5361899008. The cubic root of 2971834656 is about 1437.7218762346.

The spelling of 2971834656 in words is "two billion, nine hundred seventy-one million, eight hundred thirty-four thousand, six hundred fifty-six".