2006445767431 has 32 divisors (see below), whose sum is σ = 2423464243200. Its totient is φ = 1623947719680.

The previous prime is 2006445767423. The next prime is 2006445767441. The reversal of 2006445767431 is 1347675446002.

It is a cyclic number.

It is not a de Polignac number, because 2006445767431 - 2³ = 2006445767423 is a prime.

It is a super-2 number, since 2×2006445767431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006445767441) 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 31 ways as a sum of consecutive naturals, for example, 127296591 + ... + 127312351.

It is an arithmetic number, because the mean of its divisors is an integer number (75733257600).

Almost surely, 2^{2006445767431} is an apocalyptic number.

2006445767431 is a deficient number, since it is larger than the sum of its proper divisors (417018475769).

2006445767431 is a wasteful number, since it uses less digits than its factorization.

2006445767431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25879.

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 2006445767431 in words is "two trillion, six billion, four hundred forty-five million, seven hundred sixty-seven thousand, four hundred thirty-one".