2765164721 has 6 divisors (see below), whose sum is σ = 3039396066. Its totient is φ = 2513786000.

The previous prime is 2765164711. The next prime is 2765164723. The reversal of 2765164721 is 1274615672.

It can be written as a sum of positive squares in only one way, i.e., 2560360000 + 204804721 = 50600^2 + 14311^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2765164721 is a prime.

It is a super-3 number, since 3×2765164721³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2765164723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11426180 + ... + 11426421.

It is an arithmetic number, because the mean of its divisors is an integer number (506566011).

Almost surely, 2^2765164721 is an apocalyptic number.

It is an amenable number.

2765164721 is a deficient number, since it is larger than the sum of its proper divisors (274231345).

2765164721 is a wasteful number, since it uses less digits than its factorization.

2765164721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22852623 (or 22852612 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 2765164721 is about 52584.8335644414. The cubic root of 2765164721 is about 1403.5902275241.

The spelling of 2765164721 in words is "two billion, seven hundred sixty-five million, one hundred sixty-four thousand, seven hundred twenty-one".