2724110114272 has 48 divisors (see below), whose sum is σ = 5374171983600. Its totient is φ = 1359243970560.

The previous prime is 2724110114267. The next prime is 2724110114281.

2724110114272 is nontrivially palindromic in base 10.

2724110114272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2724110114272⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

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, 30338179 + ... + 30427837.

It is an arithmetic number, because the mean of its divisors is an integer number (111961916325).

Almost surely, 2^{2724110114272} is an apocalyptic number.

It is an amenable number.

2724110114272 is a deficient number, since it is larger than the sum of its proper divisors (2650061869328).

2724110114272 is a wasteful number, since it uses less digits than its factorization.

2724110114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91619 (or 91611 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

It can be divided in two parts, 2724110 and 114272, that added together give a palindrome (2838382).

The spelling of 2724110114272 in words is "two trillion, seven hundred twenty-four billion, one hundred ten million, one hundred fourteen thousand, two hundred seventy-two".