2004167441 has 8 divisors (see below), whose sum is σ = 2014860744. Its totient is φ = 1993492480.

The previous prime is 2004167411. The next prime is 2004167447. The reversal of 2004167441 is 1447614002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4289041 + 1999878400 = 2071^2 + 44720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004167441 - 2¹⁴ = 2004151057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004167447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 251681 + ... + 259521.

It is an arithmetic number, because the mean of its divisors is an integer number (251857593).

Almost surely, 2^2004167441 is an apocalyptic number.

It is an amenable number.

2004167441 is a deficient number, since it is larger than the sum of its proper divisors (10693303).

2004167441 is a wasteful number, since it uses less digits than its factorization.

2004167441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2004167441 is about 44767.9287101827. The cubic root of 2004167441 is about 1260.7955505442.

The spelling of 2004167441 in words is "two billion, four million, one hundred sixty-seven thousand, four hundred forty-one".