| Base | Representation |
|---|---|
| bin | 111111011011111… |
| … | …1011101001010000 |
| 3 | 12111100022122112000 |
| 4 | 1332313323221100 |
| 5 | 13324404411230 |
| 6 | 551115034000 |
| 7 | 103514504643 |
| oct | 17667735120 |
| 9 | 5440278460 |
| 10 | 2128591440 |
| 11 | 9a2597288 |
| 12 | 4b4a3b900 |
| 13 | 27bcbb981 |
| 14 | 1629ada5a |
| 15 | c6d13b60 |
| hex | 7edfba50 |
2128591440 has 320 divisors, whose sum is σ = 7679508480. Its totient is φ = 541278720.
The previous prime is 2128591433. The next prime is 2128591441. The reversal of 2128591440 is 441958212.
2128591440 is a `hidden beast` number, since 2 + 1 + 28 + 591 + 4 + 40 = 666.
It is a super-3 number, since 3×21285914403 (a number of 29 digits) contains 333 as substring.
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 = 2128591395 and 2128591404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2128591441) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5557489 + ... + 5557871.
It is an arithmetic number, because the mean of its divisors is an integer number (23998464).
Almost surely, 22128591440 is an apocalyptic number.
2128591440 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 2128591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839754240).
2128591440 is an abundant number, since it is smaller than the sum of its proper divisors (5550917040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2128591440 is a wasteful number, since it uses less digits than its factorization.
2128591440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 519 (or 507 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 2128591440 is about 46136.6604773254. The cubic root of 2128591440 is about 1286.3646703095.
The spelling of 2128591440 in words is "two billion, one hundred twenty-eight million, five hundred ninety-one thousand, four hundred forty".
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