242052105600 has 1152 divisors, whose sum is σ = 944714534400. Its totient is φ = 61123092480.

The previous prime is 242052105569. The next prime is 242052105661. The reversal of 242052105600 is 6501250242.

242052105600 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 52 + 1 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1352246311 + ... + 1352246489.

It is an arithmetic number, because the mean of its divisors is an integer number (820064700).

Almost surely, 2^242052105600 is an apocalyptic number.

242052105600 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 242052105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472357267200).

242052105600 is an abundant number, since it is smaller than the sum of its proper divisors (702662428800).

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

242052105600 is a wasteful number, since it uses less digits than its factorization.

242052105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 242052105600 its reverse (6501250242), we get a palindrome (248553355842).

The spelling of 242052105600 in words is "two hundred forty-two billion, fifty-two million, one hundred five thousand, six hundred".