2213114400 has 1080 divisors, whose sum is σ = 10183199796. Its totient is φ = 464486400.

The previous prime is 2213114399. The next prime is 2213114413. The reversal of 2213114400 is 44113122.

2213114400 is a `hidden beast` number, since 2 + 213 + 11 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 525876624 + 1687237776 = 22932^2 + 41076^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53978380 + ... + 53978420.

Almost surely, 2^2213114400 is an apocalyptic number.

2213114400 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 2213114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091599898).

2213114400 is an abundant number, since it is smaller than the sum of its proper divisors (7970085396).

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

2213114400 is a wasteful number, since it uses less digits than its factorization.

2213114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2213114400 is about 47043.7498505381. The cubic root of 2213114400 is about 1303.1706432954.

Adding to 2213114400 its reverse (44113122), we get a palindrome (2257227522).

The spelling of 2213114400 in words is "two billion, two hundred thirteen million, one hundred fourteen thousand, four hundred".