2970971136 has 660 divisors, whose sum is σ = 11181581928. Its totient is φ = 780337152.

The previous prime is 2970971123. The next prime is 2970971183. The reversal of 2970971136 is 6311790792.

It is a junction number, because it is equal to n+sod(n) for n = 2970971091 and 2970971100.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 69092331 + ... + 69092373.

Almost surely, 2^2970971136 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 2970971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590790964).

2970971136 is an abundant number, since it is smaller than the sum of its proper divisors (8210610792).

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

2970971136 is a wasteful number, since it uses less digits than its factorization.

2970971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 2970971136 is about 54506.6155250902. The cubic root of 2970971136 is about 1437.5826107634.

The spelling of 2970971136 in words is "two billion, nine hundred seventy million, nine hundred seventy-one thousand, one hundred thirty-six".