2808960 has 256 divisors, whose sum is σ = 11750400. Its totient is φ = 552960.

The previous prime is 2808959. The next prime is 2808977. The reversal of 2808960 is 698082.

2808960 = T₁₄₅ + T₁₄₆ + ... + T₂₇₀.

2808960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147831 + ... + 147849.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2^2808960 is an apocalyptic number.

2808960 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 2808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

2808960 is an abundant number, since it is smaller than the sum of its proper divisors (8941440).

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

2808960 is a wasteful number, since it uses less digits than its factorization.

2808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2808960 is about 1675.9952267235. The cubic root of 2808960 is about 141.0961569335.

The spelling of 2808960 in words is "two million, eight hundred eight thousand, nine hundred sixty".