2722146511364 has 36 divisors (see below), whose sum is σ = 5545224799884. Its totient is φ = 1165852691136.

The previous prime is 2722146511333. The next prime is 2722146511367. The reversal of 2722146511364 is 4631156412272.

It can be written as a sum of positive squares in 2 ways, for example, as 1969694357764 + 752452153600 = 1403458^2 + 867440^2 .

It is a super-2 number, since 2×2722146511364² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2722146511367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4358579 + ... + 4943834.

It is an arithmetic number, because the mean of its divisors is an integer number (154034022219).

Almost surely, 2^{2722146511364} is an apocalyptic number.

It is an amenable number.

2722146511364 is an abundant number, since it is smaller than the sum of its proper divisors (2823078288520).

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

2722146511364 is a wasteful number, since it uses less digits than its factorization.

2722146511364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303924 (or 9303915 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The spelling of 2722146511364 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-six million, five hundred eleven thousand, three hundred sixty-four".