2005035200 has 84 divisors (see below), whose sum is σ = 5638476912. Its totient is φ = 687436800.

The previous prime is 2005035191. The next prime is 2005035203. The reversal of 2005035200 is 25305002.

It is not an unprimeable number, because it can be changed into a prime (2005035203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78311 + ... + 100710.

Almost surely, 2^2005035200 is an apocalyptic number.

2005035200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005035200 is an abundant number, since it is smaller than the sum of its proper divisors (3633441712).

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

2005035200 is a wasteful number, since it uses less digits than its factorization.

2005035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179050 (or 179035 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 2005035200 is about 44777.6194097006. The cubic root of 2005035200 is about 1260.9774895711.

The spelling of 2005035200 in words is "two billion, five million, thirty-five thousand, two hundred".