2122572313344 has 576 divisors, whose sum is σ = 6918073344000. Its totient is φ = 564691599360.

The previous prime is 2122572313333. The next prime is 2122572313363. The reversal of 2122572313344 is 4433132752212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1880045772 + ... + 1880046900.

It is an arithmetic number, because the mean of its divisors is an integer number (12010544000).

Almost surely, 2^{2122572313344} is an apocalyptic number.

2122572313344 is a gapful number since it is divisible by the number (24) 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 2122572313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459036672000).

2122572313344 is an abundant number, since it is smaller than the sum of its proper divisors (4795501030656).

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

2122572313344 is a wasteful number, since it uses less digits than its factorization.

2122572313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1590 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The spelling of 2122572313344 in words is "two trillion, one hundred twenty-two billion, five hundred seventy-two million, three hundred thirteen thousand, three hundred forty-four".