| Base | Representation |
|---|---|
| bin | 1010000001101100… |
| … | …0010000000000000 |
| 3 | 20221120102100110200 |
| 4 | 2200123002000000 |
| 5 | 21003002100030 |
| 6 | 1123022525200 |
| 7 | 123460603500 |
| oct | 24033020000 |
| 9 | 6846370420 |
| 10 | 2691440640 |
| 11 | 1161280209 |
| 12 | 631436800 |
| 13 | 33b7aa835 |
| 14 | 1b7645a00 |
| 15 | 10b443d60 |
| hex | a06c2000 |
2691440640 has 504 divisors, whose sum is σ = 10925822700. Its totient is φ = 611057664.
The previous prime is 2691440639. The next prime is 2691440659. The reversal of 2691440640 is 460441962.
2691440640 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 4 + 4 + 0 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2472873984 + 218566656 = 49728^2 + 14784^2 .
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2691440595 and 2691440604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063286 + ... + 18063434.
Almost surely, 22691440640 is an apocalyptic number.
2691440640 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 2691440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462911350).
2691440640 is an abundant number, since it is smaller than the sum of its proper divisors (8234382060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2691440640 is a wasteful number, since it uses less digits than its factorization.
2691440640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 166 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 2691440640 is about 51879.0963683833. The cubic root of 2691440640 is about 1391.0036468986.
The spelling of 2691440640 in words is "two billion, six hundred ninety-one million, four hundred forty thousand, six hundred forty".
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