2760681 has 64 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 1244160.

The previous prime is 2760673. The next prime is 2760683. The reversal of 2760681 is 1860672.

It is a happy number.

2760681 is a nontrivial binomial coefficient, being equal to C(38, 6).

It is not a de Polignac number, because 2760681 - 2³ = 2760673 is a prime.

It is a super-2 number, since 2×2760681² = 15242719167522, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

2760681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2760683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74595 + ... + 74631.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

2^2760681 is an apocalyptic number.

2760681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2760681 is a deficient number, since it is larger than the sum of its proper divisors (2492439).

2760681 is a wasteful number, since it uses less digits than its factorization.

2760681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2760681 is about 1661.5297168573. The cubic root of 2760681 is about 140.2831175506.

Subtracting from 2760681 its reverse (1860672), we obtain a palindrome (900009).

The spelling of 2760681 in words is "two million, seven hundred sixty thousand, six hundred eighty-one".