2955813120 has 864 divisors, whose sum is σ = 12374474112. Its totient is φ = 668860416.

The previous prime is 2955813101. The next prime is 2955813131. The reversal of 2955813120 is 213185592.

2955813120 is a `hidden beast` number, since 29 + 5 + 581 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 68739819 + ... + 68739861.

It is an arithmetic number, because the mean of its divisors is an integer number (14322308).

Almost surely, 2^2955813120 is an apocalyptic number.

2955813120 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 2955813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187237056).

2955813120 is an abundant number, since it is smaller than the sum of its proper divisors (9418660992).

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

2955813120 is a wasteful number, since it uses less digits than its factorization.

2955813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2955813120 is about 54367.3902261273. The cubic root of 2955813120 is about 1435.1335726126.

The spelling of 2955813120 in words is "two billion, nine hundred fifty-five million, eight hundred thirteen thousand, one hundred twenty".