2042402135567 has 16 divisors (see below), whose sum is σ = 2124749568000. Its totient is φ = 1961112604320.

The previous prime is 2042402135561. The next prime is 2042402135611. The reversal of 2042402135567 is 7655312042402.

It is a cyclic number.

It is not a de Polignac number, because 2042402135567 - 2²⁶ = 2042335026703 is a prime.

It is a super-2 number, since 2×2042402135567² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042402135561) 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 15 ways as a sum of consecutive naturals, for example, 4004288 + ... + 4485434.

It is an arithmetic number, because the mean of its divisors is an integer number (132796848000).

Almost surely, 2^{2042402135567} is an apocalyptic number.

2042402135567 is a deficient number, since it is larger than the sum of its proper divisors (82347432433).

2042402135567 is a wasteful number, since it uses less digits than its factorization.

2042402135567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482246.

The product of its (nonzero) digits is 403200, while the sum is 41.

Adding to 2042402135567 its reverse (7655312042402), we get a palindrome (9697714177969).

The spelling of 2042402135567 in words is "two trillion, forty-two billion, four hundred two million, one hundred thirty-five thousand, five hundred sixty-seven".