242242330000 has 400 divisors, whose sum is σ = 670096950336. Its totient is φ = 84015360000.

The previous prime is 242242329949. The next prime is 242242330007. The reversal of 242242330000 is 33242242.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (242242330007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 215709439 + ... + 215710561.

Almost surely, 2^242242330000 is an apocalyptic number.

242242330000 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 242242330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335048475168).

242242330000 is an abundant number, since it is smaller than the sum of its proper divisors (427854620336).

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

242242330000 is a wasteful number, since it uses less digits than its factorization.

242242330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 242242330000 its reverse (33242242), we get a palindrome (242275572242).

The spelling of 242242330000 in words is "two hundred forty-two billion, two hundred forty-two million, three hundred thirty thousand".