2066812800 has 192 divisors, whose sum is σ = 7331666160. Its totient is φ = 508723200.

The previous prime is 2066812777. The next prime is 2066812849. The reversal of 2066812800 is 82186602.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 116520 + ... + 133080.

Almost surely, 2^2066812800 is an apocalyptic number.

2066812800 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 2066812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665833080).

2066812800 is an abundant number, since it is smaller than the sum of its proper divisors (5264853360).

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

2066812800 is a wasteful number, since it uses less digits than its factorization.

2066812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601 (or 16584 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2066812800 is about 45462.2128805891. The cubic root of 2066812800 is about 1273.7974667095.

The spelling of 2066812800 in words is "two billion, sixty-six million, eight hundred twelve thousand, eight hundred".