2066412000 has 192 divisors, whose sum is σ = 7064838144. Its totient is φ = 527014400.

The previous prime is 2066411969. The next prime is 2066412017. The reversal of 2066412000 is 2146602.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 272257 + ... + 279743.

It is an arithmetic number, because the mean of its divisors is an integer number (36796032).

Almost surely, 2^2066412000 is an apocalyptic number.

2066412000 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 2066412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532419072).

2066412000 is an abundant number, since it is smaller than the sum of its proper divisors (4998426144).

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

2066412000 is a wasteful number, since it uses less digits than its factorization.

2066412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2066412000 is about 45457.8046104297. The cubic root of 2066412000 is about 1273.7151223659.

Adding to 2066412000 its reverse (2146602), we get a palindrome (2068558602).

The spelling of 2066412000 in words is "two billion, sixty-six million, four hundred twelve thousand".