242104402334300 has 288 divisors, whose sum is σ = 598438663099200. Its totient is φ = 84210352128000.

The previous prime is 242104402334281. The next prime is 242104402334341. The reversal of 242104402334300 is 3433204401242.

It is a super-2 number, since 2×242104402334300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1483683116 + ... + 1483846284.

It is an arithmetic number, because the mean of its divisors is an integer number (2077912024650).

Almost surely, 2^{242104402334300} is an apocalyptic number.

242104402334300 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 242104402334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299219331549600).

242104402334300 is an abundant number, since it is smaller than the sum of its proper divisors (356334260764900).

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

242104402334300 is a wasteful number, since it uses less digits than its factorization.

242104402334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163657 (or 163650 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 242104402334300 its reverse (3433204401242), we get a palindrome (245537606735542).

The spelling of 242104402334300 in words is "two hundred forty-two trillion, one hundred four billion, four hundred two million, three hundred thirty-four thousand, three hundred".