242276815200 has 288 divisors, whose sum is σ = 919666137600. Its totient is φ = 55377369600.

The previous prime is 242276815189. The next prime is 242276815283. The reversal of 242276815200 is 2518672242.

It is a congruent number.

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, 676045 + ... + 970355.

It is an arithmetic number, because the mean of its divisors is an integer number (3193285200).

Almost surely, 2^242276815200 is an apocalyptic number.

242276815200 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 242276815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459833068800).

242276815200 is an abundant number, since it is smaller than the sum of its proper divisors (677389322400).

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

242276815200 is a wasteful number, since it uses less digits than its factorization.

242276815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294355 (or 294328 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 242276815200 in words is "two hundred forty-two billion, two hundred seventy-six million, eight hundred fifteen thousand, two hundred".