Search a number
-
+
2010000000 = 2735767
BaseRepresentation
bin111011111001110…
…0010101010000000
312012002011120122110
41313303202222000
513104030000000
6531241135320
7100544501211
oct16763425200
95162146573
102010000000
11941657828
1248118a540
13260568c18
14150d3d408
15bb6da850
hex77ce2a80

2010000000 has 256 divisors, whose sum is σ = 6773420160. Its totient is φ = 528000000.

The previous prime is 2009999983. The next prime is 2010000001. The reversal of 2010000000 is 102.

It is a Harshad number since it is a multiple of its sum of digits (3).

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 2010000000.

It is not an unprimeable number, because it can be changed into a prime (2010000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29999967 + ... + 30000033.

Almost surely, 22010000000 is an apocalyptic number.

2010000000 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 2010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386710080).

2010000000 is an abundant number, since it is smaller than the sum of its proper divisors (4763420160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010000000 is an frugal number, since it uses more digits than its factorization.

2010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 2010000000 is about 44833.0235429198. The cubic root of 2010000000 is about 1262.0174282200.

Adding to 2010000000 its reverse (102), we get a palindrome (2010000102).

The spelling of 2010000000 in words is "two billion, ten million", and thus it is an aban number and an uban number.