242734560 has 96 divisors (see below), whose sum is σ = 769722912. Its totient is φ = 64296960.

The previous prime is 242734493. The next prime is 242734589. The reversal of 242734560 is 65437242.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 73750 + ... + 76970.

It is an arithmetic number, because the mean of its divisors is an integer number (8017947).

Almost surely, 2^242734560 is an apocalyptic number.

242734560 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 242734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384861456).

242734560 is an abundant number, since it is smaller than the sum of its proper divisors (526988352).

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

242734560 is a wasteful number, since it uses less digits than its factorization.

242734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 242734560 is about 15579.9409498239. The cubic root of 242734560 is about 623.7978470745.

The spelling of 242734560 in words is "two hundred forty-two million, seven hundred thirty-four thousand, five hundred sixty".