2766766761 has 48 divisors (see below), whose sum is σ = 4701432960. Its totient is φ = 1603879200.

The previous prime is 2766766733. The next prime is 2766766789. The reversal of 2766766761 is 1676676672.

It is an interprime number because it is at equal distance from previous prime (2766766733) and next prime (2766766789).

It is not a de Polignac number, because 2766766761 - 2¹⁷ = 2766635689 is a prime.

It is a super-2 number, since 2×2766766761² = 15309996619548862242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2766766698 and 2766766707.

It is not an unprimeable number, because it can be changed into a prime (2766766661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56731 + ... + 93551.

It is an arithmetic number, because the mean of its divisors is an integer number (97946520).

Almost surely, 2^2766766761 is an apocalyptic number.

It is an amenable number.

2766766761 is a deficient number, since it is larger than the sum of its proper divisors (1934666199).

2766766761 is a wasteful number, since it uses less digits than its factorization.

2766766761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36875 (or 36858 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 2766766761 is about 52600.0642680216. The cubic root of 2766766761 is about 1403.8612389344.

The spelling of 2766766761 in words is "two billion, seven hundred sixty-six million, seven hundred sixty-six thousand, seven hundred sixty-one".