2166031431 has 24 divisors (see below), whose sum is σ = 3245561280. Its totient is φ = 1390366656.

The previous prime is 2166031391. The next prime is 2166031451. The reversal of 2166031431 is 1341306612.

2166031431 is a `hidden beast` number, since 2 + 16 + 603 + 1 + 43 + 1 = 666.

It is not a de Polignac number, because 2166031431 - 2²² = 2161837127 is a prime.

It is a super-2 number, since 2×2166031431² = 9383384320159815522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2166031395 and 2166031404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166031451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84481 + ... + 107093.

It is an arithmetic number, because the mean of its divisors is an integer number (135231720).

Almost surely, 2^2166031431 is an apocalyptic number.

2166031431 is a deficient number, since it is larger than the sum of its proper divisors (1079529849).

2166031431 is a wasteful number, since it uses less digits than its factorization.

2166031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23015 (or 23012 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2166031431 is about 46540.6427867085. The cubic root of 2166031431 is about 1293.8628740279.

The spelling of 2166031431 in words is "two billion, one hundred sixty-six million, thirty-one thousand, four hundred thirty-one".