2117705000 has 40 divisors (see below), whose sum is σ = 4961794530. Its totient is φ = 847080000.

The previous prime is 2117704993. The next prime is 2117705017. The reversal of 2117705000 is 5077112.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 41809156 + 2075895844 = 6466^2 + 45562^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 206771 + ... + 216770.

Almost surely, 2^2117705000 is an apocalyptic number.

2117705000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117705000 is an abundant number, since it is smaller than the sum of its proper divisors (2844089530).

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

2117705000 is an equidigital number, since it uses as much as digits as its factorization.

2117705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423567 (or 423548 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 2117705000 is about 46018.5288769643. The cubic root of 2117705000 is about 1284.1679322155.

The spelling of 2117705000 in words is "two billion, one hundred seventeen million, seven hundred five thousand".