242532240 has 160 divisors (see below), whose sum is σ = 800305920. Its totient is φ = 60622848.

The previous prime is 242532233. The next prime is 242532259. The reversal of 242532240 is 42235242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242532240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292146 + ... + 292974.

It is an arithmetic number, because the mean of its divisors is an integer number (5001912).

Almost surely, 2^242532240 is an apocalyptic number.

242532240 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 242532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400152960).

242532240 is an abundant number, since it is smaller than the sum of its proper divisors (557773680).

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

242532240 is a wasteful number, since it uses less digits than its factorization.

242532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242532240 is about 15573.4466320080. The cubic root of 242532240 is about 623.6244864273.

Adding to 242532240 its reverse (42235242), we get a palindrome (284767482).

The spelling of 242532240 in words is "two hundred forty-two million, five hundred thirty-two thousand, two hundred forty".