2083985200170 has 96 divisors (see below), whose sum is σ = 5442708070800. Its totient is φ = 553233272832.

The previous prime is 2083985200139. The next prime is 2083985200177. The reversal of 2083985200170 is 710025893802.

It is a happy number.

2083985200170 is a `hidden beast` number, since 20 + 8 + 3 + 98 + 520 + 0 + 17 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 992990327121 + 1090994873049 = 996489^2 + 1044507^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2083985200177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208206126 + ... + 208216134.

Almost surely, 2^{2083985200170} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083985200170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721354035400).

2083985200170 is an abundant number, since it is smaller than the sum of its proper divisors (3358722870630).

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

2083985200170 is a wasteful number, since it uses less digits than its factorization.

2083985200170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20184 (or 20181 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2083985200170 in words is "two trillion, eighty-three billion, nine hundred eighty-five million, two hundred thousand, one hundred seventy".