2204114400 has 216 divisors, whose sum is σ = 7847638344. Its totient is φ = 582067200.

The previous prime is 2204114351. The next prime is 2204114411. The reversal of 2204114400 is 44114022.

2204114400 is a `hidden beast` number, since 220 + 4 + 1 + 1 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 768970 + ... + 771830.

It is an arithmetic number, because the mean of its divisors is an integer number (36331659).

Almost surely, 2^2204114400 is an apocalyptic number.

2204114400 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 2204114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923819172).

2204114400 is an abundant number, since it is smaller than the sum of its proper divisors (5643523944).

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

2204114400 is a wasteful number, since it uses less digits than its factorization.

2204114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2204114400 is about 46947.9967623753. The cubic root of 2204114400 is about 1301.4017227656.

Adding to 2204114400 its reverse (44114022), we get a palindrome (2248228422).

The spelling of 2204114400 in words is "two billion, two hundred four million, one hundred fourteen thousand, four hundred".