2068200000 has 336 divisors, whose sum is σ = 7619512320. Its totient is φ = 550080000.

The previous prime is 2068199971. The next prime is 2068200041. The reversal of 2068200000 is 28602.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5399809 + ... + 5400191.

It is an arithmetic number, because the mean of its divisors is an integer number (22677120).

Almost surely, 2^2068200000 is an apocalyptic number.

2068200000 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 2068200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809756160).

2068200000 is an abundant number, since it is smaller than the sum of its proper divisors (5551312320).

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

2068200000 is an frugal number, since it uses more digits than its factorization.

2068200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2068200000 is about 45477.4669479293. The cubic root of 2068200000 is about 1274.0823847350.

Adding to 2068200000 its reverse (28602), we get a palindrome (2068228602).

The spelling of 2068200000 in words is "two billion, sixty-eight million, two hundred thousand".