2671752721 has 27 divisors (see below), whose sum is σ = 3042188667. Its totient is φ = 2344613040.

The previous prime is 2671752709. The next prime is 2671752757. The reversal of 2671752721 is 1272571762.

The square root of 2671752721 is 51689.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2390721025 + 281031696 = 48895^2 + 16764^2 .

It is not a de Polignac number, because 2671752721 - 2²³ = 2663364113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2671752761) 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 26 ways as a sum of consecutive naturals, for example, 21037360 + ... + 21037486.

Almost surely, 2^2671752721 is an apocalyptic number.

2671752721 is the 51689-th square number.

2671752721 is the 25845-th centered octagonal number.

It is an amenable number.

2671752721 is a deficient number, since it is larger than the sum of its proper divisors (370435946).

2671752721 is an equidigital number, since it uses as much as digits as its factorization.

2671752721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its digits is 82320, while the sum is 40.

The cubic root of 2671752721 is about 1387.6036070781.

The spelling of 2671752721 in words is "two billion, six hundred seventy-one million, seven hundred fifty-two thousand, seven hundred twenty-one".