| Base | Representation |
|---|---|
| bin | 1001111111100010… |
| … | …1011010101000000 |
| 3 | 20220221110210220000 |
| 4 | 2133320223111000 |
| 5 | 20443200404010 |
| 6 | 1122101520000 |
| 7 | 123321214566 |
| oct | 23770532500 |
| 9 | 6827423800 |
| 10 | 2682434880 |
| 11 | 115718a034 |
| 12 | 62a413000 |
| 13 | 339976698 |
| 14 | 1b637da36 |
| 15 | 10a7657c0 |
| hex | 9fe2b540 |
2682434880 has 280 divisors, whose sum is σ = 9803285448. Its totient is φ = 695734272.
The previous prime is 2682434863. The next prime is 2682434891. The reversal of 2682434880 is 884342862.
2682434880 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 can be written as a sum of positive squares in 4 ways, for example, as 1045099584 + 1637335296 = 32328^2 + 40464^2 .
It is a super-2 number, since 2×26824348802 = 14390913770881228800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 957642 + ... + 960438.
Almost surely, 22682434880 is an apocalyptic number.
2682434880 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 2682434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901642724).
2682434880 is an abundant number, since it is smaller than the sum of its proper divisors (7120850568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2682434880 is a wasteful number, since it uses less digits than its factorization.
2682434880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2863 (or 2844 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 45.
The square root of 2682434880 is about 51792.2279883768. The cubic root of 2682434880 is about 1389.4504461098.
The spelling of 2682434880 in words is "two billion, six hundred eighty-two million, four hundred thirty-four thousand, eight hundred eighty".
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