2827280 has 40 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 1109888.

The previous prime is 2827277. The next prime is 2827327. The reversal of 2827280 is 827282.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is an unprimeable number.

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, 4421 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

2^2827280 is an apocalyptic number.

2827280 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 2827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2827280 is an abundant number, since it is smaller than the sum of its proper divisors (3868720).

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

2827280 is a wasteful number, since it uses less digits than its factorization.

2827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2827280 is about 1681.4517536938. The cubic root of 2827280 is about 141.4022349063.

The spelling of 2827280 in words is "two million, eight hundred twenty-seven thousand, two hundred eighty".