2765766047 has 32 divisors (see below), whose sum is σ = 3210062400. Its totient is φ = 2359526400.

The previous prime is 2765766041. The next prime is 2765766071. The reversal of 2765766047 is 7406675672.

It is not a de Polignac number, because 2765766047 - 2⁸ = 2765765791 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2765765986 and 2765766004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765766041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1731053 + ... + 1732649.

It is an arithmetic number, because the mean of its divisors is an integer number (100314450).

Almost surely, 2^2765766047 is an apocalyptic number.

2765766047 is a deficient number, since it is larger than the sum of its proper divisors (444296353).

2765766047 is a wasteful number, since it uses less digits than its factorization.

2765766047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787.

The product of its (nonzero) digits is 2963520, while the sum is 50.

The square root of 2765766047 is about 52590.5509288503. The cubic root of 2765766047 is about 1403.6919639736.

The spelling of 2765766047 in words is "two billion, seven hundred sixty-five million, seven hundred sixty-six thousand, forty-seven".