242202144320 has 224 divisors, whose sum is σ = 664984598400. Its totient is φ = 83403177984.

The previous prime is 242202144319. The next prime is 242202144323. The reversal of 242202144320 is 23441202242.

It is a super-2 number, since 2×242202144320² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242202144320.

It is not an unprimeable number, because it can be changed into a prime (242202144323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2957039 + ... + 3037841.

Almost surely, 2^242202144320 is an apocalyptic number.

242202144320 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 242202144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332492299200).

242202144320 is an abundant number, since it is smaller than the sum of its proper divisors (422782454080).

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

242202144320 is a wasteful number, since it uses less digits than its factorization.

242202144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80885 (or 80875 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 242202144320 its reverse (23441202242), we get a palindrome (265643346562).

The spelling of 242202144320 in words is "two hundred forty-two billion, two hundred two million, one hundred forty-four thousand, three hundred twenty".