2004007941 has 12 divisors (see below), whose sum is σ = 3117345868. Its totient is φ = 1233235584.

The previous prime is 2004007937. The next prime is 2004007969. The reversal of 2004007941 is 1497004002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 235469025 + 1768538916 = 15345^2 + 42054^2 .

It is not a de Polignac number, because 2004007941 - 2² = 2004007937 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004007921) 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 11 ways as a sum of consecutive naturals, for example, 8564020 + ... + 8564253.

Almost surely, 2^2004007941 is an apocalyptic number.

It is an amenable number.

2004007941 is a deficient number, since it is larger than the sum of its proper divisors (1113337927).

2004007941 is a wasteful number, since it uses less digits than its factorization.

2004007941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128292 (or 17128289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2004007941 is about 44766.1472655398. The cubic root of 2004007941 is about 1260.7621032016.

The spelling of 2004007941 in words is "two billion, four million, seven thousand, nine hundred forty-one".