242440000032 has 96 divisors (see below), whose sum is σ = 640590612480. Its totient is φ = 80282727680.

The previous prime is 242440000003. The next prime is 242440000039. The reversal of 242440000032 is 230000044242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 242439999963 and 242440000008.

It is not an unprimeable number, because it can be changed into a prime (242440000039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18947557 + ... + 18960347.

It is an arithmetic number, because the mean of its divisors is an integer number (6672818880).

Almost surely, 2^242440000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242440000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320295306240).

242440000032 is an abundant number, since it is smaller than the sum of its proper divisors (398150612448).

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

242440000032 is a wasteful number, since it uses less digits than its factorization.

242440000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 242440000032 its reverse (230000044242), we get a palindrome (472440044274).

The spelling of 242440000032 in words is "two hundred forty-two billion, four hundred forty million, thirty-two", and thus it is an aban number.