242710560 has 192 divisors, whose sum is σ = 894499200. Its totient is φ = 61295616.

The previous prime is 242710537. The next prime is 242710571. The reversal of 242710560 is 65017242.

242710560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 80602 + ... + 83558.

It is an arithmetic number, because the mean of its divisors is an integer number (4658850).

Almost surely, 2^242710560 is an apocalyptic number.

242710560 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 242710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447249600).

242710560 is an abundant number, since it is smaller than the sum of its proper divisors (651788640).

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

242710560 is a wasteful number, since it uses less digits than its factorization.

242710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 242710560 is about 15579.1707096366. The cubic root of 242710560 is about 623.7772873847. Note that the first 3 decimals are identical.

The spelling of 242710560 in words is "two hundred forty-two million, seven hundred ten thousand, five hundred sixty".