242744727152200 has 192 divisors, whose sum is σ = 694727722080000. Its totient is φ = 76813163965440.

The previous prime is 242744727152183. The next prime is 242744727152219. The reversal of 242744727152200 is 2251727447242.

242744727152200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 120559326 + ... + 122556274.

It is an arithmetic number, because the mean of its divisors is an integer number (3618373552500).

Almost surely, 2^{242744727152200} is an apocalyptic number.

242744727152200 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 242744727152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347363861040000).

242744727152200 is an abundant number, since it is smaller than the sum of its proper divisors (451982994927800).

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

242744727152200 is a wasteful number, since it uses less digits than its factorization.

242744727152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003664 (or 2003655 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 49.

The spelling of 242744727152200 in words is "two hundred forty-two trillion, seven hundred forty-four billion, seven hundred twenty-seven million, one hundred fifty-two thousand, two hundred".