242003664 has 120 divisors (see below), whose sum is σ = 777241920. Its totient is φ = 68857344.

The previous prime is 242003647. The next prime is 242003669. The reversal of 242003664 is 466300242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242003669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411979 + ... + 412565.

It is an arithmetic number, because the mean of its divisors is an integer number (6477016).

Almost surely, 2^242003664 is an apocalyptic number.

242003664 is a gapful number since it is divisible by the number (24) 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 242003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388620960).

242003664 is an abundant number, since it is smaller than the sum of its proper divisors (535238256).

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

242003664 is a wasteful number, since it uses less digits than its factorization.

242003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242003664 is about 15556.4669510786. The cubic root of 242003664 is about 623.1711134451.

The spelling of 242003664 in words is "two hundred forty-two million, three thousand, six hundred sixty-four".