2965082976 has 96 divisors (see below), whose sum is σ = 8657510400. Its totient is φ = 987292800.

The previous prime is 2965082929. The next prime is 2965082987. The reversal of 2965082976 is 6792805692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518801 + ... + 1520751.

It is an arithmetic number, because the mean of its divisors is an integer number (90182400).

Almost surely, 2^2965082976 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 2965082976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328755200).

2965082976 is an abundant number, since it is smaller than the sum of its proper divisors (5692427424).

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

2965082976 is a wasteful number, since it uses less digits than its factorization.

2965082976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2965082976 is about 54452.5754762803. The cubic root of 2965082976 is about 1436.6322689089.

The spelling of 2965082976 in words is "two billion, nine hundred sixty-five million, eighty-two thousand, nine hundred seventy-six".