2005335400 has 48 divisors (see below), whose sum is σ = 4666135500. Its totient is φ = 801492480.

The previous prime is 2005335391. The next prime is 2005335443. The reversal of 2005335400 is 45335002.

It can be written as a sum of positive squares in 6 ways, for example, as 289884676 + 1715450724 = 17026^2 + 41418^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306564 + ... + 313036.

Almost surely, 2^2005335400 is an apocalyptic number.

2005335400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005335400 is an abundant number, since it is smaller than the sum of its proper divisors (2660800100).

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

2005335400 is a wasteful number, since it uses less digits than its factorization.

2005335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2005335400 is about 44780.9714052744. The cubic root of 2005335400 is about 1261.0404188989.

The spelling of 2005335400 in words is "two billion, five million, three hundred thirty-five thousand, four hundred".