| Base | Representation |
|---|---|
| bin | 111100111110011… |
| … | …0111101110000000 |
| 3 | 12021120220120100210 |
| 4 | 1321330313232000 |
| 5 | 13142234000000 |
| 6 | 535004514120 |
| 7 | 101462466402 |
| oct | 17174675600 |
| 9 | 5246816323 |
| 10 | 2046000000 |
| 11 | 95aa060a0 |
| 12 | 49124b940 |
| 13 | 267b61bb5 |
| 14 | 155a30b72 |
| 15 | be94c350 |
| hex | 79f37b80 |
2046000000 has 448 divisors, whose sum is σ = 7649902080. Its totient is φ = 480000000.
The previous prime is 2045999987. The next prime is 2046000007. The reversal of 2046000000 is 6402.
It is a super-2 number, since 2×20460000002 = 8372232000000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2046000000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2046000007) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65999985 + ... + 66000015.
Almost surely, 22046000000 is an apocalyptic number.
2046000000 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 2046000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824951040).
2046000000 is an abundant number, since it is smaller than the sum of its proper divisors (5603902080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2046000000 is an frugal number, since it uses more digits than its factorization.
2046000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 89 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 2046000000 is about 45232.7315115946. The cubic root of 2046000000 is about 1269.5073212452.
Adding to 2046000000 its reverse (6402), we get a palindrome (2046006402).
The spelling of 2046000000 in words is "two billion, forty-six million", and thus it is an aban number, an eban number, and an uban number.
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