2214320400 has 360 divisors, whose sum is σ = 8203403520. Its totient is φ = 551823360.

The previous prime is 2214320399. The next prime is 2214320413. The reversal of 2214320400 is 40234122.

2214320400 is a `hidden beast` number, since 221 + 43 + 2 + 0 + 400 = 666.

2214320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 3891316 + ... + 3891884.

It is an arithmetic number, because the mean of its divisors is an integer number (22787232).

Almost surely, 2^2214320400 is an apocalyptic number.

2214320400 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 2214320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101701760).

2214320400 is an abundant number, since it is smaller than the sum of its proper divisors (5989083120).

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

2214320400 is a wasteful number, since it uses less digits than its factorization.

2214320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2214320400 is about 47056.5659605543. The cubic root of 2214320400 is about 1303.4073140561.

Adding to 2214320400 its reverse (40234122), we get a palindrome (2254554522).

The spelling of 2214320400 in words is "two billion, two hundred fourteen million, three hundred twenty thousand, four hundred".