2005735050 has 72 divisors (see below), whose sum is σ = 5878641600. Its totient is φ = 486237600.

The previous prime is 2005735027. The next prime is 2005735087. The reversal of 2005735050 is 505375002.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197650 + ... + 207549.

It is an arithmetic number, because the mean of its divisors is an integer number (81647800).

Almost surely, 2^2005735050 is an apocalyptic number.

2005735050 is an abundant number, since it is smaller than the sum of its proper divisors (3872906550).

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

2005735050 is a wasteful number, since it uses less digits than its factorization.

2005735050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405228 (or 405220 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 2005735050 is about 44785.4334577662. The cubic root of 2005735050 is about 1261.1241856556.

The spelling of 2005735050 in words is "two billion, five million, seven hundred thirty-five thousand, fifty".