2000166868 has 72 divisors (see below), whose sum is σ = 4233472992. Its totient is φ = 823749696.

The previous prime is 2000166853. The next prime is 2000166877. The reversal of 2000166868 is 8686610002.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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, 600255 + ... + 603577.

It is an arithmetic number, because the mean of its divisors is an integer number (58798236).

Almost surely, 2^2000166868 is an apocalyptic number.

2000166868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000166868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116736496).

2000166868 is an abundant number, since it is smaller than the sum of its proper divisors (2233306124).

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

2000166868 is a wasteful number, since it uses less digits than its factorization.

2000166868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2000166868 is about 44723.2251520393. The cubic root of 2000166868 is about 1259.9560890047.

The spelling of 2000166868 in words is "two billion, one hundred sixty-six thousand, eight hundred sixty-eight".