242511324 has 96 divisors (see below), whose sum is σ = 663780096. Its totient is φ = 68090880.

The previous prime is 242511319. The next prime is 242511331. The reversal of 242511324 is 423115242.

It is a junction number, because it is equal to n+sod(n) for n = 242511294 and 242511303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149542 + ... + 151154.

It is an arithmetic number, because the mean of its divisors is an integer number (6914376).

Almost surely, 2^242511324 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 242511324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331890048).

242511324 is an abundant number, since it is smaller than the sum of its proper divisors (421268772).

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

242511324 is a wasteful number, since it uses less digits than its factorization.

242511324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1713 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 242511324 is about 15572.7750898804. The cubic root of 242511324 is about 623.6065587699.

Adding to 242511324 its reverse (423115242), we get a palindrome (665626566).

It can be divided in two parts, 242 and 511324, that added together give a triangular number (511566 = T₁₀₁₁).

The spelling of 242511324 in words is "two hundred forty-two million, five hundred eleven thousand, three hundred twenty-four".