2991416880960 has 1344 divisors, whose sum is σ = 12016532736000. Its totient is φ = 678279512064.

The previous prime is 2991416880953. The next prime is 2991416880973. The reversal of 2991416880960 is 690886141992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1534846066 + ... + 1534848014.

Almost surely, 2^{2991416880960} is an apocalyptic number.

2991416880960 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 2991416880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008266368000).

2991416880960 is an abundant number, since it is smaller than the sum of its proper divisors (9025115855040).

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

2991416880960 is a wasteful number, since it uses less digits than its factorization.

2991416880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 2991416880960 in words is "two trillion, nine hundred ninety-one billion, four hundred sixteen million, eight hundred eighty thousand, nine hundred sixty".