242552132240 has 160 divisors (see below), whose sum is σ = 646641398016. Its totient is φ = 83749191680.

The previous prime is 242552132231. The next prime is 242552132269. The reversal of 242552132240 is 42231255242.

242552132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242552132197 and 242552132206.

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 31 ways as a sum of consecutive naturals, for example, 2729144 + ... + 2816616.

Almost surely, 2^242552132240 is an apocalyptic number.

242552132240 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 242552132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323320699008).

242552132240 is an abundant number, since it is smaller than the sum of its proper divisors (404089265776).

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

242552132240 is a wasteful number, since it uses less digits than its factorization.

242552132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87657 (or 87651 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 242552132240 its reverse (42231255242), we get a palindrome (284783387482).

The spelling of 242552132240 in words is "two hundred forty-two billion, five hundred fifty-two million, one hundred thirty-two thousand, two hundred forty".