2005414425 has 108 divisors (see below), whose sum is σ = 4250553840. Its totient is φ = 900930240.

The previous prime is 2005414403. The next prime is 2005414441. The reversal of 2005414425 is 5244145002.

2005414425 is a `hidden beast` number, since 200 + 5 + 414 + 42 + 5 = 666.

It is not a de Polignac number, because 2005414425 - 2⁶ = 2005414361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 648934 + ... + 652016.

It is an arithmetic number, because the mean of its divisors is an integer number (39356980).

Almost surely, 2^2005414425 is an apocalyptic number.

2005414425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005414425 is an abundant number, since it is smaller than the sum of its proper divisors (2245139415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005414425 is a wasteful number, since it uses less digits than its factorization.

2005414425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2005414425 is about 44781.8537468024. The cubic root of 2005414425 is about 1261.0569834447.

Adding to 2005414425 its reverse (5244145002), we get a palindrome (7249559427).

The spelling of 2005414425 in words is "two billion, five million, four hundred fourteen thousand, four hundred twenty-five".