2688560 has 40 divisors (see below), whose sum is σ = 7145376. Its totient is φ = 921600.

The previous prime is 2688559. The next prime is 2688563. The reversal of 2688560 is 658862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2688560.

It is not an unprimeable number, because it can be changed into a prime (2688563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 2960.

2^2688560 is an apocalyptic number.

2688560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2688560 is an abundant number, since it is smaller than the sum of its proper divisors (4456816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2688560 is a wasteful number, since it uses less digits than its factorization.

2688560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2688560 is about 1639.6828961723. The cubic root of 2688560 is about 139.0507207546.

The spelling of 2688560 in words is "two million, six hundred eighty-eight thousand, five hundred sixty".