242832515200 has 384 divisors, whose sum is σ = 696037147200. Its totient is φ = 82732646400.

The previous prime is 242832515153. The next prime is 242832515279. The reversal of 242832515200 is 2515238242.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153788011 + ... + 153789589.

Almost surely, 2^242832515200 is an apocalyptic number.

242832515200 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 242832515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348018573600).

242832515200 is an abundant number, since it is smaller than the sum of its proper divisors (453204632000).

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

242832515200 is a wasteful number, since it uses less digits than its factorization.

242832515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 242832515200 in words is "two hundred forty-two billion, eight hundred thirty-two million, five hundred fifteen thousand, two hundred".