2766382736 has 40 divisors (see below), whose sum is σ = 5776505280. Its totient is φ = 1275831936.

The previous prime is 2766382733. The next prime is 2766382739. The reversal of 2766382736 is 6372836672.

It is an interprime number because it is at equal distance from previous prime (2766382733) and next prime (2766382739).

It is not an unprimeable number, because it can be changed into a prime (2766382733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324221 + ... + 332643.

It is an arithmetic number, because the mean of its divisors is an integer number (144412632).

Almost surely, 2^2766382736 is an apocalyptic number.

2766382736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2766382736 is an abundant number, since it is smaller than the sum of its proper divisors (3010122544).

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

2766382736 is a wasteful number, since it uses less digits than its factorization.

2766382736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10017 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 50.

The square root of 2766382736 is about 52596.4137180474. The cubic root of 2766382736 is about 1403.7962843257.

The spelling of 2766382736 in words is "two billion, seven hundred sixty-six million, three hundred eighty-two thousand, seven hundred thirty-six".