2724664272 has 80 divisors (see below), whose sum is σ = 8012487168. Its totient is φ = 789754240.

The previous prime is 2724664211. The next prime is 2724664321.

2724664272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2724664272² = 14847590790226579968, 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, 100038 + ... + 124325.

Almost surely, 2^2724664272 is an apocalyptic number.

2724664272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2724664272 is an abundant number, since it is smaller than the sum of its proper divisors (5287822896).

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

2724664272 is a wasteful number, since it uses less digits than its factorization.

2724664272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224408 (or 224402 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 2724664272 is about 52198.3167544702. The cubic root of 2724664272 is about 1396.7038565736.

The spelling of 2724664272 in words is "two billion, seven hundred twenty-four million, six hundred sixty-four thousand, two hundred seventy-two".