242515200000 has 576 divisors, whose sum is σ = 856823909760. Its totient is φ = 60784640000.

The previous prime is 242515199963. The next prime is 242515200041. The reversal of 242515200000 is 2515242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242515200000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326399629 + ... + 326400371.

It is an arithmetic number, because the mean of its divisors is an integer number (1487541510).

Almost surely, 2^242515200000 is an apocalyptic number.

242515200000 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 242515200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428411954880).

242515200000 is an abundant number, since it is smaller than the sum of its proper divisors (614308709760).

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

242515200000 is an frugal number, since it uses more digits than its factorization.

242515200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 242515200000 its reverse (2515242), we get a palindrome (242517715242).

The spelling of 242515200000 in words is "two hundred forty-two billion, five hundred fifteen million, two hundred thousand".