2280203406 has 64 divisors (see below), whose sum is σ = 5464166400. Its totient is φ = 700666848.

The previous prime is 2280203381. The next prime is 2280203467. The reversal of 2280203406 is 6043020822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2280203406.

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, 677155 + ... + 680513.

It is an arithmetic number, because the mean of its divisors is an integer number (85377600).

Almost surely, 2^2280203406 is an apocalyptic number.

2280203406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280203406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732083200).

2280203406 is an abundant number, since it is smaller than the sum of its proper divisors (3183962994).

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

2280203406 is a wasteful number, since it uses less digits than its factorization.

2280203406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2280203406 is about 47751.4754327026. The cubic root of 2280203406 is about 1316.2080117449.

The spelling of 2280203406 in words is "two billion, two hundred eighty million, two hundred three thousand, four hundred six".