2213280 has 144 divisors (see below), whose sum is σ = 7960680. Its totient is φ = 559104.

The previous prime is 2213279. The next prime is 2213293. The reversal of 2213280 is 823122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 242064 = 1404^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41734 + ... + 41786.

2^2213280 is an apocalyptic number.

2213280 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 2213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980340).

2213280 is an abundant number, since it is smaller than the sum of its proper divisors (5747400).

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

2213280 is a wasteful number, since it uses less digits than its factorization.

2213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2213280 is about 1487.7096490915. The cubic root of 2213280 is about 130.3203146462.

The spelling of 2213280 in words is "two million, two hundred thirteen thousand, two hundred eighty".