242500003200 has 2304 divisors, whose sum is σ = 1160175744000. Its totient is φ = 48611819520.

The previous prime is 242500003199. The next prime is 242500003243. The reversal of 242500003200 is 2300005242.

242500003200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1627516726 + ... + 1627516874.

It is an arithmetic number, because the mean of its divisors is an integer number (503548500).

Almost surely, 2^242500003200 is an apocalyptic number.

242500003200 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 242500003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580087872000).

242500003200 is an abundant number, since it is smaller than the sum of its proper divisors (917675740800).

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

242500003200 is a wasteful number, since it uses less digits than its factorization.

242500003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 242500003200 its reverse (2300005242), we get a palindrome (244800008442).

The spelling of 242500003200 in words is "two hundred forty-two billion, five hundred million, three thousand, two hundred".