2068000000 has 252 divisors, whose sum is σ = 5748676416. Its totient is φ = 736000000.

The previous prime is 2067999931. The next prime is 2068000007. The reversal of 2068000000 is 8602.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068000007) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 43999977 + ... + 44000023.

It is an arithmetic number, because the mean of its divisors is an integer number (22812208).

Almost surely, 2^2068000000 is an apocalyptic number.

2068000000 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 2068000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874338208).

2068000000 is an abundant number, since it is smaller than the sum of its proper divisors (3680676416).

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

2068000000 is an frugal number, since it uses more digits than its factorization.

2068000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2068000000 is about 45475.2680036083. The cubic root of 2068000000 is about 1274.0413144499.

Adding to 2068000000 its reverse (8602), we get a palindrome (2068008602).

The spelling of 2068000000 in words is "two billion, sixty-eight million", and thus it is an aban number and an uban number.