| Base | Representation |
|---|---|
| bin | 111110001000001… |
| … | …1101010010010000 |
| 3 | 12101021201011202012 |
| 4 | 1330100131102100 |
| 5 | 13232140022130 |
| 6 | 542510042052 |
| 7 | 102442364420 |
| oct | 17420352220 |
| 9 | 5337634665 |
| 10 | 2084689040 |
| 11 | 97a830805 |
| 12 | 4a21a9328 |
| 13 | 272b89b15 |
| 14 | 15ac22480 |
| 15 | c3040995 |
| hex | 7c41d490 |
2084689040 has 80 divisors (see below), whose sum is σ = 5552323200. Its totient is φ = 713072640.
The previous prime is 2084689037. The next prime is 2084689043. The reversal of 2084689040 is 409864802.
It is an interprime number because it is at equal distance from previous prime (2084689037) and next prime (2084689043).
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×20846890402 = 8691856786992243200, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2084689043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247295 + ... + 255585.
It is an arithmetic number, because the mean of its divisors is an integer number (69404040).
Almost surely, 22084689040 is an apocalyptic number.
2084689040 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 2084689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776161600).
2084689040 is an abundant number, since it is smaller than the sum of its proper divisors (3467634160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2084689040 is a wasteful number, since it uses less digits than its factorization.
2084689040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8760 (or 8754 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 41.
The square root of 2084689040 is about 45658.3950659679. The cubic root of 2084689040 is about 1277.4593647996.
The spelling of 2084689040 in words is "two billion, eighty-four million, six hundred eighty-nine thousand, forty".
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