| Base | Representation |
|---|---|
| bin | 111011100110101… |
| … | …1001010000000000 |
| 3 | 12011101100112020002 |
| 4 | 1313031121100000 |
| 5 | 13044000000000 |
| 6 | 530242535132 |
| 7 | 100363501535 |
| oct | 16715312000 |
| 9 | 5141315202 |
| 10 | 2000000000 |
| 11 | 936a47669 |
| 12 | 4799674a8 |
| 13 | 25b47736b |
| 14 | 14d898d8c |
| 15 | ba8b28d5 |
| hex | 77359400 |
2000000000 has 110 divisors (see below), whose sum is σ = 4997558082. Its totient is φ = 800000000.
The previous prime is 1999999973. The next prime is 2000000011. The reversal of 2000000000 is 2.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 527896576 + 1472103424 = 22976^2 + 38368^2 .
It is a sliding number, since 2000000000 = 1000000000 + 1000000000 and 1/1000000000 + 1/1000000000 = 0.000000002000000000.
It is a Harshad number since it is a multiple of its sum of digits (2).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
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 9 ways as a sum of consecutive naturals, for example, 399999998 + ... + 400000002.
Almost surely, 22000000000 is an apocalyptic number.
2000000000 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 2000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498779041).
2000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2997558082).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000000000 is an frugal number, since it uses more digits than its factorization.
2000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 2.
The square root of 2000000000 is about 44721.3595499958. The cubic root of 2000000000 is about 1259.9210498949.
The spelling of 2000000000 in words is "two billion", and thus it is an aban number, an eban number, and an uban number.
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