2722146160560 has 160 divisors (see below), whose sum is σ = 8547594793920. Its totient is φ = 716572852224.

The previous prime is 2722146160553. The next prime is 2722146160579. The reversal of 2722146160560 is 650616412272.

2722146160560 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 31 ways as a sum of consecutive naturals, for example, 8905624 + ... + 9206216.

It is an arithmetic number, because the mean of its divisors is an integer number (53422467462).

Almost surely, 2^{2722146160560} is an apocalyptic number.

2722146160560 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 2722146160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273797396960).

2722146160560 is an abundant number, since it is smaller than the sum of its proper divisors (5825448633360).

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

2722146160560 is a wasteful number, since it uses less digits than its factorization.

2722146160560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301095 (or 301089 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2722146160560 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-six million, one hundred sixty thousand, five hundred sixty".