2998957464300 has 576 divisors, whose sum is σ = 10311684009984. Its totient is φ = 658824192000.

The previous prime is 2998957464299. The next prime is 2998957464341. The reversal of 2998957464300 is 34647598992.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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, 1275608125 + ... + 1275610475.

It is an arithmetic number, because the mean of its divisors is an integer number (17902229184).

Almost surely, 2^{2998957464300} is an apocalyptic number.

2998957464300 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 2998957464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155842004992).

2998957464300 is an abundant number, since it is smaller than the sum of its proper divisors (7312726545684).

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

2998957464300 is a wasteful number, since it uses less digits than its factorization.

2998957464300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 2998957464300 in words is "two trillion, nine hundred ninety-eight billion, nine hundred fifty-seven million, four hundred sixty-four thousand, three hundred".