242434240000 has 100 divisors (see below), whose sum is σ = 605300760504. Its totient is φ = 96973568000.

The previous prime is 242434239953. The next prime is 242434240001. The reversal of 242434240000 is 42434242.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242434240001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 58804 + ... + 698803.

Almost surely, 2^242434240000 is an apocalyptic number.

242434240000 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 242434240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302650380252).

242434240000 is an abundant number, since it is smaller than the sum of its proper divisors (362866520504).

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

242434240000 is an frugal number, since it uses more digits than its factorization.

242434240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757645 (or 757614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 242434240000 its reverse (42434242), we get a palindrome (242476674242).

The spelling of 242434240000 in words is "two hundred forty-two billion, four hundred thirty-four million, two hundred forty thousand".