2722332272 has 80 divisors (see below), whose sum is σ = 5865374592. Its totient is φ = 1213704960.

The previous prime is 2722332259. The next prime is 2722332289.

2722332272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2722332272² = 14822185998345363968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292863 + ... + 2294049.

Almost surely, 2^2722332272 is an apocalyptic number.

2722332272 is a gapful number since it is divisible by the number (22) 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 2722332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932687296).

2722332272 is an abundant number, since it is smaller than the sum of its proper divisors (3143042320).

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

2722332272 is a wasteful number, since it uses less digits than its factorization.

2722332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its digits is 28224, while the sum is 32.

The square root of 2722332272 is about 52175.9740876967. The cubic root of 2722332272 is about 1396.3052700875.

It can be divided in two parts, 27223 and 32272, that added together give a palindrome (59495).

The spelling of 2722332272 in words is "two billion, seven hundred twenty-two million, three hundred thirty-two thousand, two hundred seventy-two".