2958081120 has 480 divisors, whose sum is σ = 11295456480. Its totient is φ = 726589440.

The previous prime is 2958081109. The next prime is 2958081127. The reversal of 2958081120 is 211808592.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958081127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10095694 + ... + 10095986.

It is an arithmetic number, because the mean of its divisors is an integer number (23532201).

Almost surely, 2^2958081120 is an apocalyptic number.

2958081120 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 2958081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647728240).

2958081120 is an abundant number, since it is smaller than the sum of its proper divisors (8337375360).

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

2958081120 is a wasteful number, since it uses less digits than its factorization.

2958081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2958081120 is about 54388.2443180509. The cubic root of 2958081120 is about 1435.5005388441.

The spelling of 2958081120 in words is "two billion, nine hundred fifty-eight million, eighty-one thousand, one hundred twenty".