2001414241 has 2 divisors, whose sum is σ = 2001414242. Its totient is φ = 2001414240.

The previous prime is 2001414193. The next prime is 2001414251. The reversal of 2001414241 is 1424141002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1725987025 + 275427216 = 41545^2 + 16596^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001414241 - 2¹⁷ = 2001283169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001414251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000707120 + 1000707121.

It is an arithmetic number, because the mean of its divisors is an integer number (1000707121).

Almost surely, 2^2001414241 is an apocalyptic number.

It is an amenable number.

2001414241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001414241 is an equidigital number, since it uses as much as digits as its factorization.

2001414241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2001414241 is about 44737.1684508530. The cubic root of 2001414241 is about 1260.2179519249.

Adding to 2001414241 its reverse (1424141002), we get a palindrome (3425555243).

The spelling of 2001414241 in words is "two billion, one million, four hundred fourteen thousand, two hundred forty-one".