2066384034000 has 3360 divisors, whose sum is σ = 9566485018272. Its totient is φ = 426995712000.

The previous prime is 2066384033957. The next prime is 2066384034041. The reversal of 2066384034000 is 4304836602.

It is a happy number.

2066384034000 is a `hidden beast` number, since 206 + 6 + 3 + 8 + 40 + 3 + 400 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1330672988304 + 735711045696 = 1153548^2 + 857736^2 .

It is a super-2 number, since 2×2066384034000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 671 ways as a sum of consecutive naturals, for example, 38988377974 + ... + 38988378026.

Almost surely, 2^{2066384034000} is an apocalyptic number.

2066384034000 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 2066384034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783242509136).

2066384034000 is an abundant number, since it is smaller than the sum of its proper divisors (7500100984272).

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

2066384034000 is a wasteful number, since it uses less digits than its factorization.

2066384034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2066384034000 in words is "two trillion, sixty-six billion, three hundred eighty-four million, thirty-four thousand".