2240267761431 has 48 divisors (see below), whose sum is σ = 4003187116800. Its totient is φ = 1212776495568.

The previous prime is 2240267761399. The next prime is 2240267761477. The reversal of 2240267761431 is 1341677620422.

2240267761431 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 26 + 7 + 7 + 614 + 3 + 1 = 666.

2240267761431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2240267761431 - 2⁵ = 2240267761399 is a prime.

It is a super-2 number, since 2×2240267761431² (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 (2240267761631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16349041 + ... + 16485498.

It is an arithmetic number, because the mean of its divisors is an integer number (83399731600).

Almost surely, 2^{2240267761431} is an apocalyptic number.

2240267761431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2240267761431 is a deficient number, since it is larger than the sum of its proper divisors (1762919355369).

2240267761431 is a wasteful number, since it uses less digits than its factorization.

2240267761431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32834593 (or 32834568 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2240267761431 in words is "two trillion, two hundred forty billion, two hundred sixty-seven million, seven hundred sixty-one thousand, four hundred thirty-one".