2214400 has 60 divisors (see below), whose sum is σ = 5518062. Its totient is φ = 880640.

The previous prime is 2214383. The next prime is 2214473. The reversal of 2214400 is 44122.

It can be written as a sum of positive squares in 3 ways, for example, as 2027776 + 186624 = 1424^2 + 432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12714 + ... + 12886.

2^2214400 is an apocalyptic number.

2214400 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 2214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759031).

2214400 is an abundant number, since it is smaller than the sum of its proper divisors (3303662).

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

2214400 is an equidigital number, since it uses as much as digits as its factorization.

2214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2214400 is about 1488.0860190191. The cubic root of 2214400 is about 130.3422932088.

Adding to 2214400 its reverse (44122), we get a palindrome (2258522).

The spelling of 2214400 in words is "two million, two hundred fourteen thousand, four hundred".