2722112272 has 40 divisors (see below), whose sum is σ = 5767443360. Its totient is φ = 1234337280.

The previous prime is 2722112219. The next prime is 2722112297.

2722112272 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2722112272.

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, 55288 + ... + 92200.

It is an arithmetic number, because the mean of its divisors is an integer number (144186084).

Almost surely, 2^2722112272 is an apocalyptic number.

2722112272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2722112272 is an abundant number, since it is smaller than the sum of its proper divisors (3045331088).

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

2722112272 is a wasteful number, since it uses less digits than its factorization.

2722112272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37351 (or 37345 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 2722112272 is about 52173.8657950511. The cubic root of 2722112272 is about 1396.2676558406.

It can be divided in two parts, 27221 and 12272, that added together give a palindrome (39493).

The spelling of 2722112272 in words is "two billion, seven hundred twenty-two million, one hundred twelve thousand, two hundred seventy-two".