2042166400031 has 8 divisors (see below), whose sum is σ = 2044265847120. Its totient is φ = 2040067738368.

The previous prime is 2042166399997. The next prime is 2042166400037. The reversal of 2042166400031 is 1300046612402.

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

It is a cyclic number.

It is not a de Polignac number, because 2042166400031 - 2³⁰ = 2041092658207 is a prime.

It is a super-2 number, since 2×2042166400031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2042166399967 and 2042166400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042166400037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5079080 + ... + 5466386.

It is an arithmetic number, because the mean of its divisors is an integer number (255533230890).

Almost surely, 2^{2042166400031} is an apocalyptic number.

2042166400031 is a deficient number, since it is larger than the sum of its proper divisors (2099447089).

2042166400031 is a wasteful number, since it uses less digits than its factorization.

2042166400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392713.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 2042166400031 in words is "two trillion, forty-two billion, one hundred sixty-six million, four hundred thousand, thirty-one".