2958673920000 has 1200 divisors, whose sum is σ = 10735947647040. Its totient is φ = 721944576000.

The previous prime is 2958673919989. The next prime is 2958673920047. The reversal of 2958673920000 is 293768592.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21596159932 + ... + 21596160068.

Almost surely, 2^{2958673920000} is an apocalyptic number.

2958673920000 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 2958673920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367973823520).

2958673920000 is an abundant number, since it is smaller than the sum of its proper divisors (7777273727040).

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

2958673920000 is an equidigital number, since it uses as much as digits as its factorization.

2958673920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 2958673920000 in words is "two trillion, nine hundred fifty-eight billion, six hundred seventy-three million, nine hundred twenty thousand".