2971958976 has 252 divisors, whose sum is σ = 10253898720. Its totient is φ = 819624960.

The previous prime is 2971958963. The next prime is 2971958981. The reversal of 2971958976 is 6798591792.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 816681 + ... + 820311.

Almost surely, 2^2971958976 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 2971958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126949360).

2971958976 is an abundant number, since it is smaller than the sum of its proper divisors (7281939744).

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

2971958976 is a wasteful number, since it uses less digits than its factorization.

2971958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3672 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The square root of 2971958976 is about 54515.6764243094. The cubic root of 2971958976 is about 1437.7419239057.

The spelling of 2971958976 in words is "two billion, nine hundred seventy-one million, nine hundred fifty-eight thousand, nine hundred seventy-six".