2686560 has 96 divisors (see below), whose sum is σ = 8799840. Its totient is φ = 688128.

The previous prime is 2686559. The next prime is 2686573. The reversal of 2686560 is 656862.

2686560 = 8² + 9² + ... + 200².

2686560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2686560³ = 58171583713333248000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 13824 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (91665).

2^2686560 is an apocalyptic number.

2686560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399920).

2686560 is an abundant number, since it is smaller than the sum of its proper divisors (6113280).

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

2686560 is a wasteful number, since it uses less digits than its factorization.

2686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2686560 is about 1639.0729086895. The cubic root of 2686560 is about 139.0162325987.

The spelling of 2686560 in words is "two million, six hundred eighty-six thousand, five hundred sixty".