2681064841 has 27 divisors (see below), whose sum is σ = 3383096661. Its totient is φ = 2117553984.

The previous prime is 2681064839. The next prime is 2681064857. The reversal of 2681064841 is 1484601862.

The square root of 2681064841 is 51779.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1267004025 + 1414060816 = 35595^2 + 37604^2 .

It is not a de Polignac number, because 2681064841 - 2¹ = 2681064839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2681064794 and 2681064803.

It is not an unprimeable number, because it can be changed into a prime (2681064811) 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, 4711605 + ... + 4712173.

Almost surely, 2^2681064841 is an apocalyptic number.

2681064841 is the 51779-th square number.

2681064841 is the 25890-th centered octagonal number.

It is an amenable number.

2681064841 is a deficient number, since it is larger than the sum of its proper divisors (702031820).

2681064841 is an frugal number, since it uses more digits than its factorization.

2681064841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The cubic root of 2681064841 is about 1389.2138544109.

The spelling of 2681064841 in words is "two billion, six hundred eighty-one million, sixty-four thousand, eight hundred forty-one".