2008824101 has 2 divisors, whose sum is σ = 2008824102. Its totient is φ = 2008824100.

The previous prime is 2008824089. The next prime is 2008824157. The reversal of 2008824101 is 1014288002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1664721601 + 344102500 = 40801^2 + 18550^2 .

It is a cyclic number.

It is not a de Polignac number, because 2008824101 - 2¹⁰ = 2008823077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2008824161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004412050 + 1004412051.

It is an arithmetic number, because the mean of its divisors is an integer number (1004412051).

Almost surely, 2^2008824101 is an apocalyptic number.

It is an amenable number.

2008824101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008824101 is an equidigital number, since it uses as much as digits as its factorization.

2008824101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 2008824101 is about 44819.9074184675. The cubic root of 2008824101 is about 1261.7712765585.

The spelling of 2008824101 in words is "two billion, eight million, eight hundred twenty-four thousand, one hundred one".