242204204000 has 384 divisors, whose sum is σ = 669121689600. Its totient is φ = 85413120000.

The previous prime is 242204203993. The next prime is 242204204003. The reversal of 242204204000 is 402402242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242204204003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205083410 + ... + 205084590.

It is an arithmetic number, because the mean of its divisors is an integer number (1742504400).

Almost surely, 2^242204204000 is an apocalyptic number.

242204204000 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 242204204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334560844800).

242204204000 is an abundant number, since it is smaller than the sum of its proper divisors (426917485600).

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

242204204000 is a wasteful number, since it uses less digits than its factorization.

242204204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242204204000 its reverse (402402242), we get a palindrome (242606606242).

The spelling of 242204204000 in words is "two hundred forty-two billion, two hundred four million, two hundred four thousand".