2901056344320 has 432 divisors, whose sum is σ = 9595409523840. Its totient is φ = 746969333760.

The previous prime is 2901056344313. The next prime is 2901056344339. The reversal of 2901056344320 is 234436501092.

It is a super-2 number, since 2×2901056344320² (a number of 26 digits) contains 22 as substring.

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, 3096110892 + ... + 3096111828.

It is an arithmetic number, because the mean of its divisors is an integer number (22211596120).

Almost surely, 2^{2901056344320} is an apocalyptic number.

2901056344320 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 2901056344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797704761920).

2901056344320 is an abundant number, since it is smaller than the sum of its proper divisors (6694353179520).

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

2901056344320 is an equidigital number, since it uses as much as digits as its factorization.

2901056344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 2901056344320 in words is "two trillion, nine hundred one billion, fifty-six million, three hundred forty-four thousand, three hundred twenty".