2785280 has 64 divisors (see below), whose sum is σ = 7077780. Its totient is φ = 1048576.

The previous prime is 2785273. The next prime is 2785301. The reversal of 2785280 is 825872.

It can be written as a sum of positive squares in 2 ways, for example, as 2768896 + 16384 = 1664^2 + 128^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 2785280 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163832 + ... + 163848.

2^2785280 is an apocalyptic number.

2785280 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 2785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538890).

2785280 is an abundant number, since it is smaller than the sum of its proper divisors (4292500).

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

2785280 is an frugal number, since it uses more digits than its factorization.

2785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 2785280 is about 1668.9158157319. The cubic root of 2785280 is about 140.6985495091.

The spelling of 2785280 in words is "two million, seven hundred eighty-five thousand, two hundred eighty".