2722334460544 has 64 divisors (see below), whose sum is σ = 5489689645440. Its totient is φ = 1344535668736.

The previous prime is 2722334460493. The next prime is 2722334460569. The reversal of 2722334460544 is 4450644332272.

2722334460544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2722334460544² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2722334460494 and 2722334460503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72893844 + ... + 72931180.

It is an arithmetic number, because the mean of its divisors is an integer number (85776400710).

Almost surely, 2^{2722334460544} 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 2722334460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744844822720).

2722334460544 is an abundant number, since it is smaller than the sum of its proper divisors (2767355184896).

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

2722334460544 is an equidigital number, since it uses as much as digits as its factorization.

2722334460544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44297 (or 44285 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 46.

The spelling of 2722334460544 in words is "two trillion, seven hundred twenty-two billion, three hundred thirty-four million, four hundred sixty thousand, five hundred forty-four".