242440020200 has 192 divisors, whose sum is σ = 649739664000. Its totient is φ = 82410071040.

The previous prime is 242440020127. The next prime is 242440020209. The reversal of 242440020200 is 2020044242.

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

It is not an unprimeable number, because it can be changed into a prime (242440020209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101480606 + ... + 101482994.

It is an arithmetic number, because the mean of its divisors is an integer number (3384060750).

Almost surely, 2^242440020200 is an apocalyptic number.

242440020200 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 242440020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324869832000).

242440020200 is an abundant number, since it is smaller than the sum of its proper divisors (407299643800).

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

242440020200 is a wasteful number, since it uses less digits than its factorization.

242440020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2995 counting only the distinct ones).

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

Adding to 242440020200 its reverse (2020044242), we get a palindrome (244460064442).

The spelling of 242440020200 in words is "two hundred forty-two billion, four hundred forty million, twenty thousand, two hundred".