242004672 has 448 divisors, whose sum is σ = 933094400. Its totient is φ = 60466176.

The previous prime is 242004671. The next prime is 242004701. The reversal of 242004672 is 276400242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×242004672² = 117132522539655168, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (242004671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12737079 + ... + 12737097.

It is an arithmetic number, because the mean of its divisors is an integer number (2082800).

Almost surely, 2^242004672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466547200).

242004672 is an abundant number, since it is smaller than the sum of its proper divisors (691089728).

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

242004672 is an equidigital number, since it uses as much as digits as its factorization.

242004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 242004672 is about 15556.4993491466. The cubic root of 242004672 is about 623.1719786601.

The spelling of 242004672 in words is "two hundred forty-two million, four thousand, six hundred seventy-two".