2968031992128 has 1120 divisors, whose sum is σ = 10556383703040. Its totient is φ = 730590658560.

The previous prime is 2968031992031. The next prime is 2968031992139. The reversal of 2968031992128 is 8212991308692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4615912575 + ... + 4615913217.

It is an arithmetic number, because the mean of its divisors is an integer number (9425342592).

Almost surely, 2^{2968031992128} is an apocalyptic number.

2968031992128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968031992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278191851520).

2968031992128 is an abundant number, since it is smaller than the sum of its proper divisors (7588351710912).

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

2968031992128 is a wasteful number, since it uses less digits than its factorization.

2968031992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 2968031992128 in words is "two trillion, nine hundred sixty-eight billion, thirty-one million, nine hundred ninety-two thousand, one hundred twenty-eight".