2442110112442 has 96 divisors (see below), whose sum is σ = 5247144838656. Its totient is φ = 826617623040.

The previous prime is 2442110112433. The next prime is 2442110112511.

2442110112442 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2442110112442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2887218 + ... + 3635965.

It is an arithmetic number, because the mean of its divisors is an integer number (54657758736).

Almost surely, 2^{2442110112442} is an apocalyptic number.

2442110112442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442110112442 is an abundant number, since it is smaller than the sum of its proper divisors (2805034726214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2442110112442 is a wasteful number, since it uses less digits than its factorization.

2442110112442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523244 (or 6523233 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2442110 and 112442, that added together give a palindrome (2554552).

The spelling of 2442110112442 in words is "two trillion, four hundred forty-two billion, one hundred ten million, one hundred twelve thousand, four hundred forty-two".