242104214220 has 192 divisors, whose sum is σ = 772044134400. Its totient is φ = 56147696640.

The previous prime is 242104214213. The next prime is 242104214237. The reversal of 242104214220 is 22412401242.

It is a happy number.

It is a super-2 number, since 2×242104214220² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028237 + ... + 2144283.

It is an arithmetic number, because the mean of its divisors is an integer number (4021063200).

Almost surely, 2^242104214220 is an apocalyptic number.

242104214220 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 242104214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386022067200).

242104214220 is an abundant number, since it is smaller than the sum of its proper divisors (529939920180).

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

242104214220 is a wasteful number, since it uses less digits than its factorization.

242104214220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116208 (or 116206 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242104214220 its reverse (22412401242), we get a palindrome (264516615462).

The spelling of 242104214220 in words is "two hundred forty-two billion, one hundred four million, two hundred fourteen thousand, two hundred twenty".