242013310242 has 96 divisors (see below), whose sum is σ = 535729519296. Its totient is φ = 72880023040.

The previous prime is 242013310213. The next prime is 242013310303.

It is a happy number.

242013310242 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685589938 + ... + 685590290.

It is an arithmetic number, because the mean of its divisors is an integer number (5580515826).

Almost surely, 2^242013310242 is an apocalyptic number.

242013310242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242013310242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267864759648).

242013310242 is an abundant number, since it is smaller than the sum of its proper divisors (293716209054).

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

242013310242 is an equidigital number, since it uses as much as digits as its factorization.

242013310242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 242013 and 310242, that added together give a palindrome (552255).

The spelling of 242013310242 in words is "two hundred forty-two billion, thirteen million, three hundred ten thousand, two hundred forty-two".