| Base | Representation |
|---|---|
| bin | 111011111111010… |
| … | …0010101110000000 |
| 3 | 12012021121002112100 |
| 4 | 1313332202232000 |
| 5 | 13110244240330 |
| 6 | 531423030400 |
| 7 | 100611142002 |
| oct | 16776425600 |
| 9 | 5167532470 |
| 10 | 2012883840 |
| 11 | 943247470 |
| 12 | 48213b400 |
| 13 | 261038736 |
| 14 | 151490372 |
| 15 | bbaaa060 |
| hex | 77fa2b80 |
2012883840 has 192 divisors, whose sum is σ = 7582863600. Its totient is φ = 487956480.
The previous prime is 2012883839. The next prime is 2012883841. The reversal of 2012883840 is 483882102.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2012883839) and next prime (2012883841).
It is a tau number, because it is divible by the number of its divisors (192).
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 = 2012883795 and 2012883804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2012883841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47476 + ... + 79244.
Almost surely, 22012883840 is an apocalyptic number.
2012883840 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 2012883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791431800).
2012883840 is an abundant number, since it is smaller than the sum of its proper divisors (5569979760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2012883840 is a wasteful number, since it uses less digits than its factorization.
2012883840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31805 (or 31790 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 2012883840 is about 44865.1740217287. The cubic root of 2012883840 is about 1262.6206980642.
The spelling of 2012883840 in words is "two billion, twelve million, eight hundred eighty-three thousand, eight hundred forty".
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