242970560 has 112 divisors (see below), whose sum is σ = 682752000. Its totient is φ = 80593920.

The previous prime is 242970557. The next prime is 242970577. The reversal of 242970560 is 65079242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 242970560.

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, 67691 + ... + 71189.

It is an arithmetic number, because the mean of its divisors is an integer number (6096000).

Almost surely, 2^242970560 is an apocalyptic number.

242970560 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 242970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376000).

242970560 is an abundant number, since it is smaller than the sum of its proper divisors (439781440).

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

242970560 is a wasteful number, since it uses less digits than its factorization.

242970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 242970560 is about 15587.5129510772. The cubic root of 242970560 is about 623.9999452115. Note that the first 4 decimals are identical.

The spelling of 242970560 in words is "two hundred forty-two million, nine hundred seventy thousand, five hundred sixty".