| Base | Representation |
|---|---|
| bin | 1001001010111001… |
| … | …0001111111010000 |
| 3 | 20100112221112101200 |
| 4 | 2102232101333100 |
| 5 | 20020132341330 |
| 6 | 1044132431200 |
| 7 | 115000206261 |
| oct | 22256217720 |
| 9 | 6315845350 |
| 10 | 2461605840 |
| 11 | 105356a9a1 |
| 12 | 588478500 |
| 13 | 302ca8805 |
| 14 | 194cd8968 |
| 15 | e6194a60 |
| hex | 92b91fd0 |
2461605840 has 240 divisors, whose sum is σ = 8830149120. Its totient is φ = 613186560.
The previous prime is 2461605827. The next prime is 2461605859. The reversal of 2461605840 is 485061642.
2461605840 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 605 + 8 + 40 = 666.
2461605840 is digitally balanced in base 2 and base 4, because in such bases 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 (240).
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 = 2461605795 and 2461605804.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645379 + ... + 649181.
It is an arithmetic number, because the mean of its divisors is an integer number (36792288).
Almost surely, 22461605840 is an apocalyptic number.
2461605840 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 2461605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415074560).
2461605840 is an abundant number, since it is smaller than the sum of its proper divisors (6368543280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2461605840 is a wasteful number, since it uses less digits than its factorization.
2461605840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3882 (or 3873 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 2461605840 is about 49614.5728591913. The cubic root of 2461605840 is about 1350.2250818122.
The spelling of 2461605840 in words is "two billion, four hundred sixty-one million, six hundred five thousand, eight hundred forty".
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