2210400 has 108 divisors (see below), whose sum is σ = 7819812. Its totient is φ = 587520.

The previous prime is 2210389. The next prime is 2210401. The reversal of 2210400 is 40122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7047 + ... + 7353.

2^2210400 is an apocalyptic number.

2210400 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 2210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909906).

2210400 is an abundant number, since it is smaller than the sum of its proper divisors (5609412).

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

2210400 is a wasteful number, since it uses less digits than its factorization.

2210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2210400 is about 1486.7414032037. The cubic root of 2210400 is about 130.2637642747.

Adding to 2210400 its reverse (40122), we get a palindrome (2250522).

The spelling of 2210400 in words is "two million, two hundred ten thousand, four hundred".