242001003200 has 84 divisors (see below), whose sum is σ = 649607740152. Its totient is φ = 88000358400.

The previous prime is 242001003199. The next prime is 242001003241. The reversal of 242001003200 is 2300100242.

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 11 ways as a sum of consecutive naturals, for example, 6857429 + ... + 6892628.

It is an arithmetic number, because the mean of its divisors is an integer number (7733425478).

Almost surely, 2^242001003200 is an apocalyptic number.

242001003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242001003200 is an abundant number, since it is smaller than the sum of its proper divisors (407606736952).

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

242001003200 is a wasteful number, since it uses less digits than its factorization.

242001003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750090 (or 13750075 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 242001003200 its reverse (2300100242), we get a palindrome (244301103442).

The spelling of 242001003200 in words is "two hundred forty-two billion, one million, three thousand, two hundred".