242164560 has 240 divisors, whose sum is σ = 854945280. Its totient is φ = 56601600.

The previous prime is 242164553. The next prime is 242164597. The reversal of 242164560 is 65461242.

242164560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900106 + ... + 900374.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^242164560 is an apocalyptic number.

242164560 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 242164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

242164560 is an abundant number, since it is smaller than the sum of its proper divisors (612780720).

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

242164560 is a wasteful number, since it uses less digits than its factorization.

242164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 242164560 is about 15561.6374459759. The cubic root of 242164560 is about 623.3091878383.

The spelling of 242164560 in words is "two hundred forty-two million, one hundred sixty-four thousand, five hundred sixty".