2993328898560 has 5760 divisors, whose sum is σ = 15974937538560. Its totient is φ = 520277852160.

The previous prime is 2993328898559. The next prime is 2993328898577. The reversal of 2993328898560 is 658988233992.

2993328898560 is a `hidden beast` number, since 2 + 9 + 9 + 33 + 28 + 8 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130144734709 + ... + 130144734731.

It is an arithmetic number, because the mean of its divisors is an integer number (2773426656).

Almost surely, 2^{2993328898560} is an apocalyptic number.

2993328898560 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 2993328898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987468769280).

2993328898560 is an abundant number, since it is smaller than the sum of its proper divisors (12981608640000).

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

2993328898560 is a wasteful number, since it uses less digits than its factorization.

2993328898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 2993328898560 in words is "two trillion, nine hundred ninety-three billion, three hundred twenty-eight million, eight hundred ninety-eight thousand, five hundred sixty".