242032320 has 224 divisors, whose sum is σ = 865022400. Its totient is φ = 63700992.

The previous prime is 242032319. The next prime is 242032331. The reversal of 242032320 is 23230242.

242032320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242032293 and 242032302.

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, 941632 + ... + 941888.

Almost surely, 2^242032320 is an apocalyptic number.

242032320 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 242032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432511200).

242032320 is an abundant number, since it is smaller than the sum of its proper divisors (622990080).

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

242032320 is a wasteful number, since it uses less digits than its factorization.

242032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242032320 is about 15557.3879555663. The cubic root of 242032320 is about 623.1957093353.

Adding to 242032320 its reverse (23230242), we get a palindrome (265262562).

The spelling of 242032320 in words is "two hundred forty-two million, thirty-two thousand, three hundred twenty".