2724436344272 has 80 divisors (see below), whose sum is σ = 5358898794240. Its totient is φ = 1341671116800.

The previous prime is 2724436344251. The next prime is 2724436344281.

2724436344272 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 2724436344272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212160572 + ... + 212173412.

It is an arithmetic number, because the mean of its divisors is an integer number (66986234928).

Almost surely, 2^{2724436344272} is an apocalyptic number.

It is an amenable number.

2724436344272 is a deficient number, since it is larger than the sum of its proper divisors (2634462449968).

2724436344272 is a wasteful number, since it uses less digits than its factorization.

2724436344272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13686 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 50.

The spelling of 2724436344272 in words is "two trillion, seven hundred twenty-four billion, four hundred thirty-six million, three hundred forty-four thousand, two hundred seventy-two".