2068680600 has 192 divisors, whose sum is σ = 8143526400. Its totient is φ = 472832640.

The previous prime is 2068680599. The next prime is 2068680671. The reversal of 2068680600 is 60868602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10437 + ... + 65163.

It is an arithmetic number, because the mean of its divisors is an integer number (42414200).

Almost surely, 2^2068680600 is an apocalyptic number.

2068680600 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 2068680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071763200).

2068680600 is an abundant number, since it is smaller than the sum of its proper divisors (6074845800).

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

2068680600 is a wasteful number, since it uses less digits than its factorization.

2068680600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54759 (or 54744 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2068680600 is about 45482.7505764548. The cubic root of 2068680600 is about 1274.1810658056.

The spelling of 2068680600 in words is "two billion, sixty-eight million, six hundred eighty thousand, six hundred".