2961891836928 has 528 divisors, whose sum is σ = 9455098633344. Its totient is φ = 922868121600.

The previous prime is 2961891836837. The next prime is 2961891836941. The reversal of 2961891836928 is 8296381981692.

2961891836928 is a `hidden beast` number, since 296 + 1 + 89 + 183 + 69 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638749426 + ... + 638754062.

Almost surely, 2^{2961891836928} 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 2961891836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727549316672).

2961891836928 is an abundant number, since it is smaller than the sum of its proper divisors (6493206796416).

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

2961891836928 is a wasteful number, since it uses less digits than its factorization.

2961891836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4810 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 2961891836928 in words is "two trillion, nine hundred sixty-one billion, eight hundred ninety-one million, eight hundred thirty-six thousand, nine hundred twenty-eight".