2068700760 has 384 divisors, whose sum is σ = 8332346880. Its totient is φ = 434294784.

The previous prime is 2068700749. The next prime is 2068700839. The reversal of 2068700760 is 670078602.

2068700760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1841559 + ... + 1842681.

It is an arithmetic number, because the mean of its divisors is an integer number (21698820).

Almost surely, 2^2068700760 is an apocalyptic number.

2068700760 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 2068700760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166173440).

2068700760 is an abundant number, since it is smaller than the sum of its proper divisors (6263646120).

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

2068700760 is a wasteful number, since it uses less digits than its factorization.

2068700760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2068700760 is about 45482.9721983953. The cubic root of 2068700760 is about 1274.1852049023.

The spelling of 2068700760 in words is "two billion, sixty-eight million, seven hundred thousand, seven hundred sixty".