242565565242 has 192 divisors, whose sum is σ = 664712141184. Its totient is φ = 58007093760.

The previous prime is 242565565201. The next prime is 242565565283.

242565565242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (242565565201) and next prime (242565565283).

It is a junction number, because it is equal to n+sod(n) for n = 242565565191 and 242565565200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16683408 + ... + 16697940.

It is an arithmetic number, because the mean of its divisors is an integer number (3462042402).

Almost surely, 2^242565565242 is an apocalyptic number.

242565565242 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 242565565242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332356070592).

242565565242 is an abundant number, since it is smaller than the sum of its proper divisors (422146575942).

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

242565565242 is a wasteful number, since it uses less digits than its factorization.

242565565242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14973 (or 14966 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The spelling of 242565565242 in words is "two hundred forty-two billion, five hundred sixty-five million, five hundred sixty-five thousand, two hundred forty-two".