2956670976 has 384 divisors, whose sum is σ = 9749376000. Its totient is φ = 794787840.

The previous prime is 2956670947. The next prime is 2956670987. The reversal of 2956670976 is 6790766592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 48469986 + ... + 48470046.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 2^2956670976 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 2956670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688000).

2956670976 is an abundant number, since it is smaller than the sum of its proper divisors (6792705024).

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

2956670976 is an equidigital number, since it uses as much as digits as its factorization.

2956670976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The square root of 2956670976 is about 54375.2790889389. The cubic root of 2956670976 is about 1435.2723972284.

The spelling of 2956670976 in words is "two billion, nine hundred fifty-six million, six hundred seventy thousand, nine hundred seventy-six".