2673820681 has 27 divisors (see below), whose sum is σ = 3184060071. Its totient is φ = 2238792864.

The previous prime is 2673820661. The next prime is 2673820693. The reversal of 2673820681 is 1860283762.

The square root of 2673820681 is 51709.

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

2673820681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 513430281 + 2160390400 = 22659^2 + 46480^2 .

It is not a de Polignac number, because 2673820681 - 2¹⁷ = 2673689609 is a prime.

It is a super-2 number, since 2×2673820681² = 14298634068286607522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2673820661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30042885 + ... + 30042973.

Almost surely, 2^2673820681 is an apocalyptic number.

2673820681 is the 51709-th square number.

2673820681 is the 25855-th centered octagonal number.

It is an amenable number.

2673820681 is a deficient number, since it is larger than the sum of its proper divisors (510239390).

2673820681 is an frugal number, since it uses more digits than its factorization.

2673820681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 2673820681 is about 1387.9615205319.

The spelling of 2673820681 in words is "two billion, six hundred seventy-three million, eight hundred twenty thousand, six hundred eighty-one".