242202342403320 has 256 divisors, whose sum is σ = 828606758676480. Its totient is φ = 56106788659200.

The previous prime is 242202342403271. The next prime is 242202342403321. The reversal of 242202342403320 is 23304243202242.

It is a super-2 number, since 2×242202342403320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242202342403321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286816515 + ... + 287659725.

It is an arithmetic number, because the mean of its divisors is an integer number (3236745151080).

Almost surely, 2^{242202342403320} is an apocalyptic number.

242202342403320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242202342403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414303379338240).

242202342403320 is an abundant number, since it is smaller than the sum of its proper divisors (586404416273160).

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

242202342403320 is a wasteful number, since it uses less digits than its factorization.

242202342403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854086 (or 854082 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 242202342403320 its reverse (23304243202242), we get a palindrome (265506585605562).

The spelling of 242202342403320 in words is "two hundred forty-two trillion, two hundred two billion, three hundred forty-two million, four hundred three thousand, three hundred twenty".