242321520 has 160 divisors (see below), whose sum is σ = 867944448. Its totient is φ = 54779904.

The previous prime is 242321507. The next prime is 242321567. The reversal of 242321520 is 25123242.

It is a super-2 number, since 2×242321520² = 117439438110220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 162217 + ... + 163703.

Almost surely, 2^242321520 is an apocalyptic number.

242321520 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 242321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972224).

242321520 is an abundant number, since it is smaller than the sum of its proper divisors (625622928).

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

242321520 is a wasteful number, since it uses less digits than its factorization.

242321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242321520 is about 15566.6798001372. The cubic root of 242321520 is about 623.4438255965.

Adding to 242321520 its reverse (25123242), we get a palindrome (267444762).

It can be divided in two parts, 24232 and 1520, that added together give a palindrome (25752).

The spelling of 242321520 in words is "two hundred forty-two million, three hundred twenty-one thousand, five hundred twenty".