2722199644416 has 576 divisors, whose sum is σ = 9098514432000. Its totient is φ = 719543107584.

The previous prime is 2722199644397. The next prime is 2722199644459. The reversal of 2722199644416 is 6144469912272.

2722199644416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264209121 + ... + 264219423.

It is an arithmetic number, because the mean of its divisors is an integer number (15796032000).

Almost surely, 2^{2722199644416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2722199644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549257216000).

2722199644416 is an abundant number, since it is smaller than the sum of its proper divisors (6376314787584).

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

2722199644416 is a wasteful number, since it uses less digits than its factorization.

2722199644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419 (or 10391 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 2722199644416 in words is "two trillion, seven hundred twenty-two billion, one hundred ninety-nine million, six hundred forty-four thousand, four hundred sixteen".