242001320 has 64 divisors (see below), whose sum is σ = 602942400. Its totient is φ = 86676480.

The previous prime is 242001269. The next prime is 242001343. The reversal of 242001320 is 23100242.

242001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242001295 and 242001304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25376 + ... + 33584.

It is an arithmetic number, because the mean of its divisors is an integer number (9420975).

Almost surely, 2^242001320 is an apocalyptic number.

242001320 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 242001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301471200).

242001320 is an abundant number, since it is smaller than the sum of its proper divisors (360941080).

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

242001320 is a wasteful number, since it uses less digits than its factorization.

242001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 242001320 is about 15556.3916124531. The cubic root of 242001320 is about 623.1691014676.

Adding to 242001320 its reverse (23100242), we get a palindrome (265101562).

The spelling of 242001320 in words is "two hundred forty-two million, one thousand, three hundred twenty".