2000765268 has 18 divisors (see below), whose sum is σ = 5057490074. Its totient is φ = 666921744.

The previous prime is 2000765233. The next prime is 2000765279. The reversal of 2000765268 is 8625670002.

It can be written as a sum of positive squares in only one way, i.e., 1940578704 + 60186564 = 44052^2 + 7758^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2000765268² = 8006123315270223648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 55576813 = 2000765268 / (2 + 0 + 0 + 0 + 7 + 6 + 5 + 2 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 27788371 + ... + 27788442.

Almost surely, 2^2000765268 is an apocalyptic number.

It is an amenable number.

2000765268 is an abundant number, since it is smaller than the sum of its proper divisors (3056724806).

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

2000765268 is a wasteful number, since it uses less digits than its factorization.

2000765268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55576823 (or 55576818 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2000765268 is about 44729.9146880474. The cubic root of 2000765268 is about 1260.0817256136.

The spelling of 2000765268 in words is "two billion, seven hundred sixty-five thousand, two hundred sixty-eight".