2066331300 has 144 divisors (see below), whose sum is σ = 6905932992. Its totient is φ = 471449600.

The previous prime is 2066331259. The next prime is 2066331313. The reversal of 2066331300 is 31336602.

2066331300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37684 + ... + 74516.

It is an arithmetic number, because the mean of its divisors is an integer number (47957868).

Almost surely, 2^2066331300 is an apocalyptic number.

2066331300 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 2066331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452966496).

2066331300 is an abundant number, since it is smaller than the sum of its proper divisors (4839601692).

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

2066331300 is a wasteful number, since it uses less digits than its factorization.

2066331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36878 (or 36871 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 2066331300 is about 45456.9169654080. The cubic root of 2066331300 is about 1273.6985412665.

Adding to 2066331300 its reverse (31336602), we get a palindrome (2097667902).

The spelling of 2066331300 in words is "two billion, sixty-six million, three hundred thirty-one thousand, three hundred".