210242403200 has 96 divisors (see below), whose sum is σ = 519697656120. Its totient is φ = 84043008000.

The previous prime is 210242403193. The next prime is 210242403229. The reversal of 210242403200 is 2304242012.

210242403200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210242403200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5166935 + ... + 5207465.

Almost surely, 2^210242403200 is an apocalyptic number.

210242403200 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 210242403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259848828060).

210242403200 is an abundant number, since it is smaller than the sum of its proper divisors (309455252920).

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

210242403200 is a wasteful number, since it uses less digits than its factorization.

210242403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42176 (or 42159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 210242403200 its reverse (2304242012), we get a palindrome (212546645212).

The spelling of 210242403200 in words is "two hundred ten billion, two hundred forty-two million, four hundred three thousand, two hundred".