2791970405136 has 180 divisors, whose sum is σ = 8807811732720. Its totient is φ = 818759203200.

The previous prime is 2791970405129. The next prime is 2791970405207. The reversal of 2791970405136 is 6315040791972.

2791970405136 is a `hidden beast` number, since 2 + 7 + 9 + 19 + 70 + 40 + 513 + 6 = 666.

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 35 ways as a sum of consecutive naturals, for example, 605155 + ... + 2439293.

It is an arithmetic number, because the mean of its divisors is an integer number (48932287404).

Almost surely, 2^{2791970405136} 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 2791970405136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403905866360).

2791970405136 is an abundant number, since it is smaller than the sum of its proper divisors (6015841327584).

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

2791970405136 is a wasteful number, since it uses less digits than its factorization.

2791970405136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834226 (or 1834186 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 2791970405136 in words is "two trillion, seven hundred ninety-one billion, nine hundred seventy million, four hundred five thousand, one hundred thirty-six".