2289280 has 96 divisors (see below), whose sum is σ = 6453540. Its totient is φ = 774144.

The previous prime is 2289263. The next prime is 2289281. The reversal of 2289280 is 829822.

2289280 = T₉₉ + T₁₀₀ + ... + T₂₄₄.

2289280 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 3136 = 1512^2 + 56^2 .

It is not an unprimeable number, because it can be changed into a prime (2289281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31324 + ... + 31396.

2^2289280 is an apocalyptic number.

2289280 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 2289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226770).

2289280 is an abundant number, since it is smaller than the sum of its proper divisors (4164260).

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

2289280 is an equidigital number, since it uses as much as digits as its factorization.

2289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2289280 is about 1513.0366816439. The cubic root of 2289280 is about 131.7952135242.

The spelling of 2289280 in words is "two million, two hundred eighty-nine thousand, two hundred eighty".