| Base | Representation |
|---|---|
| bin | 111011110001001… |
| … | …1010011111000000 |
| 3 | 12011202201110122010 |
| 4 | 1313202122133000 |
| 5 | 13101402310310 |
| 6 | 531001012520 |
| 7 | 100461361110 |
| oct | 16742323700 |
| 9 | 5152643563 |
| 10 | 2005510080 |
| 11 | 93a070452 |
| 12 | 47b784140 |
| 13 | 25c656372 |
| 14 | 1504d1040 |
| 15 | bb100320 |
| hex | 7789a7c0 |
2005510080 has 448 divisors, whose sum is σ = 7742407680. Its totient is φ = 430080000.
The previous prime is 2005510027. The next prime is 2005510099. The reversal of 2005510080 is 800155002.
2005510080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7989955 + ... + 7990205.
It is an arithmetic number, because the mean of its divisors is an integer number (17282160).
Almost surely, 22005510080 is an apocalyptic number.
2005510080 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 2005510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871203840).
2005510080 is an abundant number, since it is smaller than the sum of its proper divisors (5736897600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2005510080 is a wasteful number, since it uses less digits than its factorization.
2005510080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 348 (or 338 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 21.
The square root of 2005510080 is about 44782.9217447902. The cubic root of 2005510080 is about 1261.0770332469.
Adding to 2005510080 its reverse (800155002), we get a palindrome (2805665082).
It can be divided in two parts, 20055 and 10080, that added together give a triangular number (30135 = T245).
The spelling of 2005510080 in words is "two billion, five million, five hundred ten thousand, eighty".
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