2964968306944 has 144 divisors (see below), whose sum is σ = 6798001916160. Its totient is φ = 1264298434560.

The previous prime is 2964968306917. The next prime is 2964968307031. The reversal of 2964968306944 is 4496038694692.

It is a super-2 number, since 2×2964968306944² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293468997 + ... + 293479099.

It is an arithmetic number, because the mean of its divisors is an integer number (47208346640).

Almost surely, 2^{2964968306944} 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 2964968306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399000958080).

2964968306944 is an abundant number, since it is smaller than the sum of its proper divisors (3833033609216).

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

2964968306944 is a wasteful number, since it uses less digits than its factorization.

2964968306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 70.

The spelling of 2964968306944 in words is "two trillion, nine hundred sixty-four billion, nine hundred sixty-eight million, three hundred six thousand, nine hundred forty-four".