2213334400 has 96 divisors (see below), whose sum is σ = 5496947280. Its totient is φ = 880588800.

The previous prime is 2213334371. The next prime is 2213334401. The reversal of 2213334400 is 44333122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213334401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628645 + ... + 632155.

Almost surely, 2^2213334400 is an apocalyptic number.

2213334400 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 2213334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748473640).

2213334400 is an abundant number, since it is smaller than the sum of its proper divisors (3283612880).

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

2213334400 is a wasteful number, since it uses less digits than its factorization.

2213334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2213334400 is about 47046.0880414089. The cubic root of 2213334400 is about 1303.2138234766.

Adding to 2213334400 its reverse (44333122), we get a palindrome (2257667522).

The spelling of 2213334400 in words is "two billion, two hundred thirteen million, three hundred thirty-four thousand, four hundred".