2085289668 has 108 divisors (see below), whose sum is σ = 6689238192. Its totient is φ = 541628640.

The previous prime is 2085289663. The next prime is 2085289673. The reversal of 2085289668 is 8669825802.

2085289668 is a `hidden beast` number, since 20 + 8 + 528 + 96 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2085289663) and next prime (2085289673).

It is not an unprimeable number, because it can be changed into a prime (2085289663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34330 + ... + 73137.

Almost surely, 2^2085289668 is an apocalyptic number.

2085289668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2085289668 is an abundant number, since it is smaller than the sum of its proper divisors (4603948524).

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

2085289668 is a wasteful number, since it uses less digits than its factorization.

2085289668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107502 (or 107490 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 2085289668 is about 45664.9720026193. The cubic root of 2085289668 is about 1277.5820376415.

The spelling of 2085289668 in words is "two billion, eighty-five million, two hundred eighty-nine thousand, six hundred sixty-eight".