2742456455231 has 32 divisors (see below), whose sum is σ = 2818185216000. Its totient is φ = 2668064106240.

The previous prime is 2742456455203. The next prime is 2742456455267. The reversal of 2742456455231 is 1325546542472.

It is a happy number.

2742456455231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2742456455231 is a prime.

It is a super-2 number, since 2×2742456455231² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2742456455231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742456455831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224856610 + ... + 1224858848.

It is an arithmetic number, because the mean of its divisors is an integer number (88068288000).

Almost surely, 2^{2742456455231} is an apocalyptic number.

2742456455231 is a deficient number, since it is larger than the sum of its proper divisors (75728760769).

2742456455231 is a wasteful number, since it uses less digits than its factorization.

2742456455231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159.

The product of its digits is 8064000, while the sum is 50.

The spelling of 2742456455231 in words is "two trillion, seven hundred forty-two billion, four hundred fifty-six million, four hundred fifty-five thousand, two hundred thirty-one".