2000816766 has 48 divisors (see below), whose sum is σ = 4672187520. Its totient is φ = 615159360.

The previous prime is 2000816747. The next prime is 2000816771. The reversal of 2000816766 is 6676180002.

It is a happy number.

2000816766 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000816766² = 8006535462213397512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000816766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409176 + ... + 414036.

It is an arithmetic number, because the mean of its divisors is an integer number (97337240).

Almost surely, 2^2000816766 is an apocalyptic number.

2000816766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2000816766 is an abundant number, since it is smaller than the sum of its proper divisors (2671370754).

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

2000816766 is a wasteful number, since it uses less digits than its factorization.

2000816766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2000816766 is about 44730.4903393647. The cubic root of 2000816766 is about 1260.0925366656.

Adding to 2000816766 its reverse (6676180002), we get a palindrome (8676996768).

The spelling of 2000816766 in words is "two billion, eight hundred sixteen thousand, seven hundred sixty-six".