| Base | Representation |
|---|---|
| bin | 111100110011000… |
| … | …1110111111010000 |
| 3 | 12021011202002110000 |
| 4 | 1321212032333100 |
| 5 | 13134224103000 |
| 6 | 534233410000 |
| 7 | 101361163200 |
| oct | 17146167720 |
| 9 | 5234662400 |
| 10 | 2040066000 |
| 11 | 957622865 |
| 12 | 48b269900 |
| 13 | 266864c5b |
| 14 | 154d28400 |
| 15 | be179000 |
| hex | 7998efd0 |
2040066000 has 600 divisors, whose sum is σ = 8605304136. Its totient is φ = 464486400.
The previous prime is 2040065947. The next prime is 2040066037. The reversal of 2040066000 is 6600402.
2040066000 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 660 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 2012060736 = 5292^2 + 44856^2 .
It is a tau number, because it is divible by the number of its divisors (600).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7937872 + ... + 7938128.
Almost surely, 22040066000 is an apocalyptic number.
2040066000 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 2040066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302652068).
2040066000 is an abundant number, since it is smaller than the sum of its proper divisors (6565238136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2040066000 is a wasteful number, since it uses less digits than its factorization.
2040066000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 306 (or 274 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2040066000 is about 45167.0897889160. The cubic root of 2040066000 is about 1268.2788182987.
Adding to 2040066000 its reverse (6600402), we get a palindrome (2046666402).
The spelling of 2040066000 in words is "two billion, forty million, sixty-six thousand", and thus it is an eban number.
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