242010160200 has 288 divisors, whose sum is σ = 823613792040. Its totient is φ = 63677952000.

The previous prime is 242010160177. The next prime is 242010160201. The reversal of 242010160200 is 2061010242.

It can be written as a sum of positive squares in 12 ways, for example, as 353364804 + 241656795396 = 18798^2 + 491586^2 .

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

It is not an unprimeable number, because it can be changed into a prime (242010160201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56901274 + ... + 56905526.

Almost surely, 2^242010160200 is an apocalyptic number.

242010160200 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 242010160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411806896020).

242010160200 is an abundant number, since it is smaller than the sum of its proper divisors (581603631840).

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

242010160200 is a wasteful number, since it uses less digits than its factorization.

242010160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 242010160200 its reverse (2061010242), we get a palindrome (244071170442).

The spelling of 242010160200 in words is "two hundred forty-two billion, ten million, one hundred sixty thousand, two hundred".