242542440 has 192 divisors, whose sum is σ = 910166400. Its totient is φ = 54867456.

The previous prime is 242542397. The next prime is 242542453. The reversal of 242542440 is 44245242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274239 + ... + 275121.

It is an arithmetic number, because the mean of its divisors is an integer number (4740450).

Almost surely, 2^242542440 is an apocalyptic number.

242542440 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 242542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455083200).

242542440 is an abundant number, since it is smaller than the sum of its proper divisors (667623960).

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

242542440 is a wasteful number, since it uses less digits than its factorization.

242542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 242542440 is about 15573.7741090591. The cubic root of 242542440 is about 623.6332287435.

Adding to 242542440 its reverse (44245242), we get a palindrome (286787682).

The spelling of 242542440 in words is "two hundred forty-two million, five hundred forty-two thousand, four hundred forty".