242518320 has 320 divisors, whose sum is σ = 932083200. Its totient is φ = 57461760.

The previous prime is 242518303. The next prime is 242518327. The reversal of 242518320 is 23815242.

It is a super-3 number, since 3×242518320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242518327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1401754 + ... + 1401926.

It is an arithmetic number, because the mean of its divisors is an integer number (2912760).

Almost surely, 2^242518320 is an apocalyptic number.

242518320 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 242518320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466041600).

242518320 is an abundant number, since it is smaller than the sum of its proper divisors (689564880).

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

242518320 is a wasteful number, since it uses less digits than its factorization.

242518320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 242518320 is about 15572.9997110383. Note that the first 3 decimals coincide. The cubic root of 242518320 is about 623.6125553415.

The spelling of 242518320 in words is "two hundred forty-two million, five hundred eighteen thousand, three hundred twenty".