| Base | Representation |
|---|---|
| bin | 111110000010010… |
| … | …1000101011100000 |
| 3 | 12101001212201122100 |
| 4 | 1330010220223200 |
| 5 | 13230341334414 |
| 6 | 542315410400 |
| 7 | 102404136315 |
| oct | 17404505340 |
| 9 | 5331781570 |
| 10 | 2081589984 |
| 11 | 979004401 |
| 12 | 4a1153a00 |
| 13 | 272343366 |
| 14 | 15a656d0c |
| 15 | c2b2c609 |
| hex | 7c128ae0 |
2081589984 has 144 divisors (see below), whose sum is σ = 6170411520. Its totient is φ = 664899840.
The previous prime is 2081589971. The next prime is 2081589997. The reversal of 2081589984 is 4899851802.
It is an interprime number because it is at equal distance from previous prime (2081589971) and next prime (2081589997).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×20815899842 = 8666033722978240512, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2081589984.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 954207 + ... + 956385.
It is an arithmetic number, because the mean of its divisors is an integer number (42850080).
Almost surely, 22081589984 is an apocalyptic number.
2081589984 is a gapful number since it is divisible by the number (24) 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 2081589984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085205760).
2081589984 is an abundant number, since it is smaller than the sum of its proper divisors (4088821536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2081589984 is a wasteful number, since it uses less digits than its factorization.
2081589984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2333 (or 2322 counting only the distinct ones).
The product of its (nonzero) digits is 1658880, while the sum is 54.
The square root of 2081589984 is about 45624.4450267617. The cubic root of 2081589984 is about 1276.8260358947.
The spelling of 2081589984 in words is "two billion, eighty-one million, five hundred eighty-nine thousand, nine hundred eighty-four".
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