2214304400 has 240 divisors, whose sum is σ = 7024371840. Its totient is φ = 649420800.

The previous prime is 2214304387. The next prime is 2214304423. The reversal of 2214304400 is 44034122.

2214304400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521486 + ... + 525714.

It is an arithmetic number, because the mean of its divisors is an integer number (29268216).

Almost surely, 2^2214304400 is an apocalyptic number.

2214304400 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 2214304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512185920).

2214304400 is an abundant number, since it is smaller than the sum of its proper divisors (4810067440).

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

2214304400 is a wasteful number, since it uses less digits than its factorization.

2214304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2214304400 is about 47056.3959520914. The cubic root of 2214304400 is about 1303.4041747081.

Adding to 2214304400 its reverse (44034122), we get a palindrome (2258338522).

The spelling of 2214304400 in words is "two billion, two hundred fourteen million, three hundred four thousand, four hundred".