2442120212442 has 16 divisors (see below), whose sum is σ = 4913487375552. Its totient is φ = 809165579040.

The previous prime is 2442120212437. The next prime is 2442120212453.

2442120212442 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2442120212442² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1218621859 + ... + 1218623862.

It is an arithmetic number, because the mean of its divisors is an integer number (307092960972).

Almost surely, 2^{2442120212442} is an apocalyptic number.

2442120212442 is an abundant number, since it is smaller than the sum of its proper divisors (2471367163110).

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

2442120212442 is a wasteful number, since it uses less digits than its factorization.

2442120212442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437245893.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 2442120 and 212442, that added together give a palindrome (2654562).

The spelling of 2442120212442 in words is "two trillion, four hundred forty-two billion, one hundred twenty million, two hundred twelve thousand, four hundred forty-two".