242505117600 has 144 divisors (see below), whose sum is σ = 793445591232. Its totient is φ = 64332840960.

The previous prime is 242505117593. The next prime is 242505117601. The reversal of 242505117600 is 6711505242.

It is not an unprimeable number, because it can be changed into a prime (242505117601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201429 + ... + 724971.

It is an arithmetic number, because the mean of its divisors is an integer number (5510038828).

Almost surely, 2^242505117600 is an apocalyptic number.

242505117600 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 242505117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396722795616).

242505117600 is an abundant number, since it is smaller than the sum of its proper divisors (550940473632).

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

242505117600 is a wasteful number, since it uses less digits than its factorization.

242505117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523759 (or 523746 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 242505117600 in words is "two hundred forty-two billion, five hundred five million, one hundred seventeen thousand, six hundred".