242742528 has 288 divisors, whose sum is σ = 853574400. Its totient is φ = 66576384.

The previous prime is 242742503. The next prime is 242742553. The reversal of 242742528 is 825247242.

242742528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242742503) and next prime (242742553).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242742492 and 242742501.

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, 1403050 + ... + 1403222.

It is an arithmetic number, because the mean of its divisors is an integer number (2963800).

Almost surely, 2^242742528 is an apocalyptic number.

242742528 is a gapful number since it is divisible by the number (28) 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 242742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426787200).

242742528 is an abundant number, since it is smaller than the sum of its proper divisors (610831872).

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

242742528 is a wasteful number, since it uses less digits than its factorization.

242742528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 242742528 is about 15580.1966611465. The cubic root of 242742528 is about 623.8046725919.

The spelling of 242742528 in words is "two hundred forty-two million, seven hundred forty-two thousand, five hundred twenty-eight".