242104489200 has 360 divisors, whose sum is σ = 964446807168. Its totient is φ = 55093086720.

The previous prime is 242104489153. The next prime is 242104489259. The reversal of 242104489200 is 2984401242.

242104489200 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 0 + 448 + 9 + 200 = 666.

242104489200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×242104489200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5699239 + ... + 5741561.

Almost surely, 2^242104489200 is an apocalyptic number.

242104489200 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 242104489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482223403584).

242104489200 is an abundant number, since it is smaller than the sum of its proper divisors (722342317968).

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

242104489200 is a wasteful number, since it uses less digits than its factorization.

242104489200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42581 (or 42567 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 242104489200 in words is "two hundred forty-two billion, one hundred four million, four hundred eighty-nine thousand, two hundred".