2004006881 has 2 divisors, whose sum is σ = 2004006882. Its totient is φ = 2004006880.

The previous prime is 2004006833. The next prime is 2004006887. The reversal of 2004006881 is 1886004002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1973580625 + 30426256 = 44425^2 + 5516^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004006881 - 2²⁶ = 1936898017 is a prime.

It is a super-2 number, since 2×2004006881² = 8032087158190696322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2004006887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002003440 + 1002003441.

It is an arithmetic number, because the mean of its divisors is an integer number (1002003441).

Almost surely, 2^2004006881 is an apocalyptic number.

It is an amenable number.

2004006881 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004006881 is an equidigital number, since it uses as much as digits as its factorization.

2004006881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2004006881 is about 44766.1354262349. The cubic root of 2004006881 is about 1260.7618809124.

The spelling of 2004006881 in words is "two billion, four million, six thousand, eight hundred eighty-one".