242424020000 has 120 divisors (see below), whose sum is σ = 597306313296. Its totient is φ = 96822176000.

The previous prime is 242424019991. The next prime is 242424020011. The reversal of 242424020000 is 20424242.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13651127 + ... + 13668873.

Almost surely, 2^242424020000 is an apocalyptic number.

242424020000 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 242424020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298653156648).

242424020000 is an abundant number, since it is smaller than the sum of its proper divisors (354882293296).

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

242424020000 is an equidigital number, since it uses as much as digits as its factorization.

242424020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18460 (or 18437 counting only the distinct ones).

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

Adding to 242424020000 its reverse (20424242), we get a palindrome (242444444242).

The spelling of 242424020000 in words is "two hundred forty-two billion, four hundred twenty-four million, twenty thousand".