2066050800 has 900 divisors, whose sum is σ = 8908054848. Its totient is φ = 456192000.

The previous prime is 2066050787. The next prime is 2066050801. The reversal of 2066050800 is 80506602.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066050801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 66646785 + ... + 66646815.

Almost surely, 2^2066050800 is an apocalyptic number.

2066050800 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 2066050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454027424).

2066050800 is an abundant number, since it is smaller than the sum of its proper divisors (6842004048).

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

2066050800 is a wasteful number, since it uses less digits than its factorization.

2066050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2066050800 is about 45453.8315216660. The cubic root of 2066050800 is about 1273.6409047187.

The spelling of 2066050800 in words is "two billion, sixty-six million, fifty thousand, eight hundred".