2958322080 has 288 divisors, whose sum is σ = 10995009984. Its totient is φ = 666537984.

The previous prime is 2958322067. The next prime is 2958322109. The reversal of 2958322080 is 802238592.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716099 + ... + 1717821.

It is an arithmetic number, because the mean of its divisors is an integer number (38177118).

Almost surely, 2^2958322080 is an apocalyptic number.

2958322080 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 2958322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497504992).

2958322080 is an abundant number, since it is smaller than the sum of its proper divisors (8036687904).

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

2958322080 is a wasteful number, since it uses less digits than its factorization.

2958322080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2958322080 is about 54390.4594575188. The cubic root of 2958322080 is about 1435.5395155550.

The spelling of 2958322080 in words is "two billion, nine hundred fifty-eight million, three hundred twenty-two thousand, eighty".