2688001 has 8 divisors (see below), whose sum is σ = 2807784. Its totient is φ = 2570880.

The previous prime is 2687999. The next prime is 2688017. The reversal of 2688001 is 1008862.

2688001 = 139² + 140² + ... + 220².

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 2356225 = 576^2 + 1535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2688001 - 2¹ = 2687999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (350973).

2^2688001 is an apocalyptic number.

It is an amenable number.

2688001 is a deficient number, since it is larger than the sum of its proper divisors (119783).

2688001 is a wasteful number, since it uses less digits than its factorization.

2688001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 2688001 is about 1639.5124275223. The cubic root of 2688001 is about 139.0410830377.

The spelling of 2688001 in words is "two million, six hundred eighty-eight thousand, one".