2000414041 has 2 divisors, whose sum is σ = 2000414042. Its totient is φ = 2000414040.

The previous prime is 2000414011. The next prime is 2000414081. The reversal of 2000414041 is 1404140002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1472333641 + 528080400 = 38371^2 + 22980^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000414041 - 2²³ = 1992025433 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000414011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000207020 + 1000207021.

It is an arithmetic number, because the mean of its divisors is an integer number (1000207021).

Almost surely, 2^2000414041 is an apocalyptic number.

It is an amenable number.

2000414041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000414041 is an equidigital number, since it uses as much as digits as its factorization.

2000414041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2000414041 is about 44725.9884295473. The cubic root of 2000414041 is about 1260.0079870578.

Adding to 2000414041 its reverse (1404140002), we get a palindrome (3404554043).

The spelling of 2000414041 in words is "two billion, four hundred fourteen thousand, forty-one".