2993112141600 has 576 divisors, whose sum is σ = 11211644408832. Its totient is φ = 679408128000.

The previous prime is 2993112141559. The next prime is 2993112141623. The reversal of 2993112141600 is 61412113992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2931549090 + ... + 2931550110.

It is an arithmetic number, because the mean of its divisors is an integer number (19464660432).

Almost surely, 2^{2993112141600} is an apocalyptic number.

2993112141600 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 2993112141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605822204416).

2993112141600 is an abundant number, since it is smaller than the sum of its proper divisors (8218532267232).

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

2993112141600 is a wasteful number, since it uses less digits than its factorization.

2993112141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 2993112141600 in words is "two trillion, nine hundred ninety-three billion, one hundred twelve million, one hundred forty-one thousand, six hundred".