2066264200 has 192 divisors, whose sum is σ = 6450837120. Its totient is φ = 594432000.

The previous prime is 2066264177. The next prime is 2066264203. The reversal of 2066264200 is 24626602.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2066264203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195040 + ... + 205360.

It is an arithmetic number, because the mean of its divisors is an integer number (33598110).

Almost surely, 2^2066264200 is an apocalyptic number.

2066264200 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 2066264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225418560).

2066264200 is an abundant number, since it is smaller than the sum of its proper divisors (4384572920).

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

2066264200 is a wasteful number, since it uses less digits than its factorization.

2066264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2066264200 is about 45456.1788979232. The cubic root of 2066264200 is about 1273.6847541748.

The spelling of 2066264200 in words is "two billion, sixty-six million, two hundred sixty-four thousand, two hundred".