242224202422242 has 96 divisors (see below), whose sum is σ = 570866502755952. Its totient is φ = 73917729349632.

The previous prime is 242224202422201. The next prime is 242224202422261.

242224202422242 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 2 + 4 + 202 + 422 + 24 + 2 = 666.

242224202422242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 171062307488241 + 71161894934001 = 13079079^2 + 8435751^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242224202422197 and 242224202422206.

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, 38236938 + ... + 44119290.

Almost surely, 2^{242224202422242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242224202422242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285433251377976).

242224202422242 is an abundant number, since it is smaller than the sum of its proper divisors (328642300333710).

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

242224202422242 is a wasteful number, since it uses less digits than its factorization.

242224202422242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886052 (or 5886049 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 24222420 and 2422242, that added together give a palindrome (26644662).

The spelling of 242224202422242 in words is "two hundred forty-two trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, two hundred forty-two".