2724401027231 has 16 divisors (see below), whose sum is σ = 3088743920640. Its totient is φ = 2382198996960.

The previous prime is 2724401027213. The next prime is 2724401027281. The reversal of 2724401027231 is 1327201044272.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2724401027231 is a prime.

It is a super-2 number, since 2×2724401027231² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2724401027191 and 2724401027200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724401027281) by changing a digit.

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, 1541486 + ... + 2797316.

It is an arithmetic number, because the mean of its divisors is an integer number (193046495040).

Almost surely, 2^{2724401027231} is an apocalyptic number.

2724401027231 is a deficient number, since it is larger than the sum of its proper divisors (364342893409).

2724401027231 is a wasteful number, since it uses less digits than its factorization.

2724401027231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264646.

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 2724401027231 in words is "two trillion, seven hundred twenty-four billion, four hundred one million, twenty-seven thousand, two hundred thirty-one".