2891886117120 has 3456 divisors, whose sum is σ = 14425101250560. Its totient is φ = 515022520320.

The previous prime is 2891886117119. The next prime is 2891886117143. The reversal of 2891886117120 is 217116881982.

2891886117120 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 8 + 8 + 611 + 7 + 12 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14679624862 + ... + 14679625058.

It is an arithmetic number, because the mean of its divisors is an integer number (4173929760).

Almost surely, 2^{2891886117120} is an apocalyptic number.

2891886117120 is a gapful number since it is divisible by the number (20) 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 2891886117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212550625280).

2891886117120 is an abundant number, since it is smaller than the sum of its proper divisors (11533215133440).

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

2891886117120 is a wasteful number, since it uses less digits than its factorization.

2891886117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 2891886117120 in words is "two trillion, eight hundred ninety-one billion, eight hundred eighty-six million, one hundred seventeen thousand, one hundred twenty".