2042564220431 has 16 divisors (see below), whose sum is σ = 2424444254208. Its totient is φ = 1683898437600.

The previous prime is 2042564220377. The next prime is 2042564220469. The reversal of 2042564220431 is 1340224652402.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2042564220431 is a prime.

It is a super-2 number, since 2×2042564220431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042564220391 and 2042564220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042564220491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28838060 + ... + 28908801.

It is an arithmetic number, because the mean of its divisors is an integer number (151527765888).

Almost surely, 2^{2042564220431} is an apocalyptic number.

2042564220431 is a deficient number, since it is larger than the sum of its proper divisors (381880033777).

2042564220431 is a wasteful number, since it uses less digits than its factorization.

2042564220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57747062.

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 2042564220431 its reverse (1340224652402), we get a palindrome (3382788872833).

The spelling of 2042564220431 in words is "two trillion, forty-two billion, five hundred sixty-four million, two hundred twenty thousand, four hundred thirty-one".