242352240 has 160 divisors (see below), whose sum is σ = 815572800. Its totient is φ = 59179008.

The previous prime is 242352233. The next prime is 242352241. The reversal of 242352240 is 42253242.

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 242352240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242352241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539536 + ... + 539984.

It is an arithmetic number, because the mean of its divisors is an integer number (5097330).

Almost surely, 2^242352240 is an apocalyptic number.

242352240 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 242352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407786400).

242352240 is an abundant number, since it is smaller than the sum of its proper divisors (573220560).

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

242352240 is a wasteful number, since it uses less digits than its factorization.

242352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

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

The square root of 242352240 is about 15567.6664918028. Note that the first 3 decimals coincide. The cubic root of 242352240 is about 623.4701699138.

The spelling of 242352240 in words is "two hundred forty-two million, three hundred fifty-two thousand, two hundred forty".