2005414401 has 8 divisors (see below), whose sum is σ = 2831173344. Its totient is φ = 1258299200.

The previous prime is 2005414391. The next prime is 2005414403. The reversal of 2005414401 is 1044145002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2005414401 - 2⁹ = 2005413889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005414403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19660875 + ... + 19660976.

It is an arithmetic number, because the mean of its divisors is an integer number (353896668).

Almost surely, 2^2005414401 is an apocalyptic number.

It is an amenable number.

2005414401 is a deficient number, since it is larger than the sum of its proper divisors (825758943).

2005414401 is a wasteful number, since it uses less digits than its factorization.

2005414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39321871.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2005414401 is about 44781.8534788367. The cubic root of 2005414401 is about 1261.0569784140.

Adding to 2005414401 its reverse (1044145002), we get a palindrome (3049559403).

The spelling of 2005414401 in words is "two billion, five million, four hundred fourteen thousand, four hundred one".