2666560 has 56 divisors (see below), whose sum is σ = 6848856. Its totient is φ = 983040.

The previous prime is 2666539. The next prime is 2666561. The reversal of 2666560 is 656662.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 2334784 = 576^2 + 1528^2 .

It is a super-2 number, since 2×2666560² = 14221084467200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840 + ... + 4480.

It is an arithmetic number, because the mean of its divisors is an integer number (122301).

2^2666560 is an apocalyptic number.

2666560 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 2666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424428).

2666560 is an abundant number, since it is smaller than the sum of its proper divisors (4182296).

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

2666560 is a wasteful number, since it uses less digits than its factorization.

2666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2666560 is about 1632.9605016656. The cubic root of 2666560 is about 138.6704058821.

The spelling of 2666560 in words is "two million, six hundred sixty-six thousand, five hundred sixty".