2210280 has 64 divisors (see below), whose sum is σ = 6730560. Its totient is φ = 580608.

The previous prime is 2210279. The next prime is 2210281. The reversal of 2210280 is 820122.

2210280 = 80² + 81² + ... + 192².

2210280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2210279) and next prime (2210281).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2210281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13479 + ... + 13641.

It is an arithmetic number, because the mean of its divisors is an integer number (105165).

2^2210280 is an apocalyptic number.

2210280 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 2210280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365280).

2210280 is an abundant number, since it is smaller than the sum of its proper divisors (4520280).

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

2210280 is a wasteful number, since it uses less digits than its factorization.

2210280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2210280 is about 1486.7010459403. The cubic root of 2210280 is about 130.2614069435.

The spelling of 2210280 in words is "two million, two hundred ten thousand, two hundred eighty".