2214424000 has 112 divisors (see below), whose sum is σ = 5528498976. Its totient is φ = 878592000.

The previous prime is 2214423983. The next prime is 2214424001. The reversal of 2214424000 is 4244122.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046944 + ... + 1049056.

It is an arithmetic number, because the mean of its divisors is an integer number (49361598).

Almost surely, 2^2214424000 is an apocalyptic number.

2214424000 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 2214424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764249488).

2214424000 is an abundant number, since it is smaller than the sum of its proper divisors (3314074976).

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

2214424000 is a wasteful number, since it uses less digits than its factorization.

2214424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2214424000 is about 47057.6667504882. Note that the first 3 decimals coincide. The cubic root of 2214424000 is about 1303.4276409687.

Adding to 2214424000 its reverse (4244122), we get a palindrome (2218668122).

The spelling of 2214424000 in words is "two billion, two hundred fourteen million, four hundred twenty-four thousand".