2066766800 has 240 divisors, whose sum is σ = 6094431360. Its totient is φ = 657745920.

The previous prime is 2066766799. The next prime is 2066766833. The reversal of 2066766800 is 86676602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819234 + ... + 2819966.

It is an arithmetic number, because the mean of its divisors is an integer number (25393464).

Almost surely, 2^2066766800 is an apocalyptic number.

2066766800 is a gapful number since it is divisible by the number (20) 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 2066766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047215680).

2066766800 is an abundant number, since it is smaller than the sum of its proper divisors (4027664560).

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

2066766800 is a wasteful number, since it uses less digits than its factorization.

2066766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 2066766800 is about 45461.7069631135. The cubic root of 2066766800 is about 1273.7880165522.

The spelling of 2066766800 in words is "two billion, sixty-six million, seven hundred sixty-six thousand, eight hundred".