2891681761920 has 256 divisors, whose sum is σ = 10535543182080. Its totient is φ = 660857978880.

The previous prime is 2891681761909. The next prime is 2891681761973. The reversal of 2891681761920 is 291671861982.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130639174 + ... + 130661306.

It is an arithmetic number, because the mean of its divisors is an integer number (41154465555).

Almost surely, 2^{2891681761920} is an apocalyptic number.

2891681761920 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 2891681761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267771591040).

2891681761920 is an abundant number, since it is smaller than the sum of its proper divisors (7643861420160).

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

2891681761920 is a wasteful number, since it uses less digits than its factorization.

2891681761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31883 (or 31871 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 2891681761920 in words is "two trillion, eight hundred ninety-one billion, six hundred eighty-one million, seven hundred sixty-one thousand, nine hundred twenty".