2772007431431 has 8 divisors (see below), whose sum is σ = 3168089539104. Its totient is φ = 2375945585280.

The previous prime is 2772007431421. The next prime is 2772007431467. The reversal of 2772007431431 is 1341347002772.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2772007431431 is a prime.

It is a super-2 number, since 2×2772007431431² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772007431421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4771070 + ... + 5320443.

It is an arithmetic number, because the mean of its divisors is an integer number (396011192388).

Almost surely, 2^{2772007431431} is an apocalyptic number.

2772007431431 is a deficient number, since it is larger than the sum of its proper divisors (396082107673).

2772007431431 is a wasteful number, since it uses less digits than its factorization.

2772007431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130761.

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 2772007431431 in words is "two trillion, seven hundred seventy-two billion, seven million, four hundred thirty-one thousand, four hundred thirty-one".