2724374734272 has 112 divisors (see below), whose sum is σ = 8053407616800. Its totient is φ = 903107543040.

The previous prime is 2724374734267. The next prime is 2724374734331.

2724374734272 is a `hidden beast` number, since 2 + 72 + 4 + 37 + 473 + 4 + 2 + 72 = 666.

2724374734272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2724374734272² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4042497 + ... + 4668032.

It is an arithmetic number, because the mean of its divisors is an integer number (71905425150).

Almost surely, 2^{2724374734272} is an apocalyptic number.

It is an amenable number.

2724374734272 is an abundant number, since it is smaller than the sum of its proper divisors (5329032882528).

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

2724374734272 is a wasteful number, since it uses less digits than its factorization.

2724374734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710731 (or 8710715 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 54.

The spelling of 2724374734272 in words is "two trillion, seven hundred twenty-four billion, three hundred seventy-four million, seven hundred thirty-four thousand, two hundred seventy-two".