242122524 has 144 divisors (see below), whose sum is σ = 698664960. Its totient is φ = 64955520.

The previous prime is 242122499. The next prime is 242122577. The reversal of 242122524 is 425221242.

It is a super-3 number, since 3×242122524³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242122494 and 242122503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674257 + ... + 674615.

It is an arithmetic number, because the mean of its divisors is an integer number (4851840).

Almost surely, 2^242122524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242122524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349332480).

242122524 is an abundant number, since it is smaller than the sum of its proper divisors (456542436).

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

242122524 is a wasteful number, since it uses less digits than its factorization.

242122524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 242122524 is about 15560.2867582831. The cubic root of 242122524 is about 623.2731201587.

Adding to 242122524 its reverse (425221242), we get a palindrome (667343766).

The spelling of 242122524 in words is "two hundred forty-two million, one hundred twenty-two thousand, five hundred twenty-four".