242442334200 has 192 divisors, whose sum is σ = 820197861120. Its totient is φ = 58752256000.

The previous prime is 242442334187. The next prime is 242442334231. The reversal of 242442334200 is 2433244242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 24817717 + ... + 24827483.

It is an arithmetic number, because the mean of its divisors is an integer number (4271863860).

Almost surely, 2^242442334200 is an apocalyptic number.

242442334200 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 242442334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410098930560).

242442334200 is an abundant number, since it is smaller than the sum of its proper divisors (577755526920).

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

242442334200 is a wasteful number, since it uses less digits than its factorization.

242442334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13558 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242442334200 its reverse (2433244242), we get a palindrome (244875578442).

The spelling of 242442334200 in words is "two hundred forty-two billion, four hundred forty-two million, three hundred thirty-four thousand, two hundred".