2005386401 has 4 divisors (see below), whose sum is σ = 2007016704. Its totient is φ = 2003756100.

The previous prime is 2005386391. The next prime is 2005386433. The reversal of 2005386401 is 1046835002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2005386401 - 2¹⁸ = 2005124257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005386101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 813305 + ... + 815766.

It is an arithmetic number, because the mean of its divisors is an integer number (501754176).

Almost surely, 2^2005386401 is an apocalyptic number.

It is an amenable number.

2005386401 is a deficient number, since it is larger than the sum of its proper divisors (1630303).

2005386401 is a wasteful number, since it uses less digits than its factorization.

2005386401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630302.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2005386401 is about 44781.5408511141. The cubic root of 2005386401 is about 1261.0511093428.

The spelling of 2005386401 in words is "two billion, five million, three hundred eighty-six thousand, four hundred one".