242044320 has 288 divisors, whose sum is σ = 912171456. Its totient is φ = 53760000.

The previous prime is 242044303. The next prime is 242044321. The reversal of 242044320 is 23440242.

242044320 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964195 + ... + 964445.

It is an arithmetic number, because the mean of its divisors is an integer number (3167262).

Almost surely, 2^242044320 is an apocalyptic number.

242044320 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 242044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456085728).

242044320 is an abundant number, since it is smaller than the sum of its proper divisors (670127136).

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

242044320 is a wasteful number, since it uses less digits than its factorization.

242044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242044320 is about 15557.7736196411. The cubic root of 242044320 is about 623.2060085451.

Adding to 242044320 its reverse (23440242), we get a palindrome (265484562).

The spelling of 242044320 in words is "two hundred forty-two million, forty-four thousand, three hundred twenty".