2804880 has 160 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 645120.

The previous prime is 2804861. The next prime is 2804887. The reversal of 2804880 is 884082.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2804887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90465 + ... + 90495.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^2804880 is an apocalyptic number.

2804880 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 2804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2804880 is an abundant number, since it is smaller than the sum of its proper divisors (7194480).

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

2804880 is a wasteful number, since it uses less digits than its factorization.

2804880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2804880 is about 1674.7775971752. Note that the first 3 decimals coincide. The cubic root of 2804880 is about 141.0278100168.

Adding to 2804880 its product of nonzero digits (4096), we get a square (2808976 = 1676²).

The spelling of 2804880 in words is "two million, eight hundred four thousand, eight hundred eighty".