242705760 has 192 divisors, whose sum is σ = 854219520. Its totient is φ = 57415680.

The previous prime is 242705747. The next prime is 242705779. The reversal of 242705760 is 67507242.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 226506 + ... + 227574.

It is an arithmetic number, because the mean of its divisors is an integer number (4449060).

Almost surely, 2^242705760 is an apocalyptic number.

242705760 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 242705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427109760).

242705760 is an abundant number, since it is smaller than the sum of its proper divisors (611513760).

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

242705760 is a wasteful number, since it uses less digits than its factorization.

242705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 242705760 is about 15579.0166570294. The cubic root of 242705760 is about 623.7731752841.

The spelling of 242705760 in words is "two hundred forty-two million, seven hundred five thousand, seven hundred sixty".