2826560 has 84 divisors (see below), whose sum is σ = 7499604. Its totient is φ = 1013760.

The previous prime is 2826559. The next prime is 2826563. The reversal of 2826560 is 656282.

It can be written as a sum of positive squares in 2 ways, for example, as 1308736 + 1517824 = 1144^2 + 1232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826563) 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 11 ways as a sum of consecutive naturals, for example, 38684 + ... + 38756.

It is an arithmetic number, because the mean of its divisors is an integer number (89281).

2^2826560 is an apocalyptic number.

2826560 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 2826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749802).

2826560 is an abundant number, since it is smaller than the sum of its proper divisors (4673044).

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

2826560 is a wasteful number, since it uses less digits than its factorization.

2826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2826560 is about 1681.2376393598. The cubic root of 2826560 is about 141.3902306416.

The spelling of 2826560 in words is "two million, eight hundred twenty-six thousand, five hundred sixty".