2280800 has 36 divisors (see below), whose sum is σ = 5569956. Its totient is φ = 912000.

The previous prime is 2280767. The next prime is 2280823. The reversal of 2280800 is 80822.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 626 + ... + 2225.

It is an arithmetic number, because the mean of its divisors is an integer number (154721).

2^2280800 is an apocalyptic number.

2280800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280800 is an abundant number, since it is smaller than the sum of its proper divisors (3289156).

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

2280800 is a wasteful number, since it uses less digits than its factorization.

2280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2280800 is about 1510.2317702922. The cubic root of 2280800 is about 131.6322792927.

The spelling of 2280800 in words is "two million, two hundred eighty thousand, eight hundred".