2901391920 has 480 divisors, whose sum is σ = 11806387200. Its totient is φ = 652893696.

The previous prime is 2901391877. The next prime is 2901391951. The reversal of 2901391920 is 291931092.

It is a happy number.

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, 8361187 + ... + 8361533.

It is an arithmetic number, because the mean of its divisors is an integer number (24596640).

Almost surely, 2^2901391920 is an apocalyptic number.

2901391920 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 2901391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903193600).

2901391920 is an abundant number, since it is smaller than the sum of its proper divisors (8904995280).

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

2901391920 is a wasteful number, since it uses less digits than its factorization.

2901391920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 2901391920 is about 53864.5701737237. The cubic root of 2901391920 is about 1426.2712644401.

The spelling of 2901391920 in words is "two billion, nine hundred one million, three hundred ninety-one thousand, nine hundred twenty".