2212434400 has 288 divisors, whose sum is σ = 6520082688. Its totient is φ = 723148800.

The previous prime is 2212434379. The next prime is 2212434401. The reversal of 2212434400 is 44342122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212434401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3440479 + ... + 3441121.

It is an arithmetic number, because the mean of its divisors is an integer number (22639176).

Almost surely, 2^2212434400 is an apocalyptic number.

2212434400 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 2212434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260041344).

2212434400 is an abundant number, since it is smaller than the sum of its proper divisors (4307648288).

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

2212434400 is a wasteful number, since it uses less digits than its factorization.

2212434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2212434400 is about 47036.5219802655. The cubic root of 2212434400 is about 1303.0371591862.

Adding to 2212434400 its reverse (44342122), we get a palindrome (2256776522).

The spelling of 2212434400 in words is "two billion, two hundred twelve million, four hundred thirty-four thousand, four hundred".