2266560 has 84 divisors (see below), whose sum is σ = 7805928. Its totient is φ = 603648.

The previous prime is 2266549. The next prime is 2266571. The reversal of 2266560 is 656622.

2266560 is a `hidden beast` number, since 2 + 2 + 6 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2266549) and next prime (2266571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2487 + ... + 3273.

2^2266560 is an apocalyptic number.

2266560 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 2266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902964).

2266560 is an abundant number, since it is smaller than the sum of its proper divisors (5539368).

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

2266560 is a wasteful number, since it uses less digits than its factorization.

2266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2266560 is about 1505.5098804060. The cubic root of 2266560 is about 131.3577618389.

It can be divided in two parts, 226 and 6560, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 2266560 in words is "two million, two hundred sixty-six thousand, five hundred sixty".