2682561 has 16 divisors (see below), whose sum is σ = 4121600. Its totient is φ = 1520208.

The previous prime is 2682551. The next prime is 2682569. The reversal of 2682561 is 1652862.

2682561 = 64² + 65² + ... + 202².

2682561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2682561 - 2⁶ = 2682497 is a prime.

It is a super-2 number, since 2×2682561² = 14392267037442, which contains 22 as substring.

2682561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2682569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (257600).

2^2682561 is an apocalyptic number.

2682561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2682561 is a deficient number, since it is larger than the sum of its proper divisors (1439039).

2682561 is a wasteful number, since it uses less digits than its factorization.

2682561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068.

The product of its digits is 5760, while the sum is 30.

The square root of 2682561 is about 1637.8525574666. The cubic root of 2682561 is about 138.9472221692.

The spelling of 2682561 in words is "two million, six hundred eighty-two thousand, five hundred sixty-one".