242000220330 has 192 divisors, whose sum is σ = 717935063040. Its totient is φ = 55983523200.

The previous prime is 242000220313. The next prime is 242000220337. The reversal of 242000220330 is 33022000242.

242000220330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242000220337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9801541 + ... + 9826199.

It is an arithmetic number, because the mean of its divisors is an integer number (3739245120).

Almost surely, 2^242000220330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242000220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358967531520).

242000220330 is an abundant number, since it is smaller than the sum of its proper divisors (475934842710).

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

242000220330 is a wasteful number, since it uses less digits than its factorization.

242000220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25137 (or 25134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 242000220330 its reverse (33022000242), we get a palindrome (275022220572).

The spelling of 242000220330 in words is "two hundred forty-two billion, two hundred twenty thousand, three hundred thirty".