2826880 has 64 divisors (see below), whose sum is σ = 7735680. Its totient is φ = 967680.

The previous prime is 2826853. The next prime is 2826883. The reversal of 2826880 is 886282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2826883) 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, 4165 + ... + 4795.

It is an arithmetic number, because the mean of its divisors is an integer number (120870).

2^2826880 is an apocalyptic number.

2826880 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 2826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867840).

2826880 is an abundant number, since it is smaller than the sum of its proper divisors (4908800).

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

2826880 is an equidigital number, since it uses as much as digits as its factorization.

2826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2826880 is about 1681.3328046523. The cubic root of 2826880 is about 141.3955661220.

The spelling of 2826880 in words is "two million, eight hundred twenty-six thousand, eight hundred eighty".