2005217850 has 48 divisors (see below), whose sum is σ = 5003510112. Its totient is φ = 531437760.

The previous prime is 2005217831. The next prime is 2005217861. The reversal of 2005217850 is 587125002.

2005217850 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2005217850³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16557 + ... + 65456.

It is an arithmetic number, because the mean of its divisors is an integer number (104239794).

Almost surely, 2^2005217850 is an apocalyptic number.

2005217850 is an abundant number, since it is smaller than the sum of its proper divisors (2998292262).

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

2005217850 is a wasteful number, since it uses less digits than its factorization.

2005217850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82191 (or 82186 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 2005217850 is about 44779.6588865972. The cubic root of 2005217850 is about 1261.0157782664.

The spelling of 2005217850 in words is "two billion, five million, two hundred seventeen thousand, eight hundred fifty".