2214144000 has 432 divisors, whose sum is σ = 8246527380. Its totient is φ = 571392000.

The previous prime is 2214143999. The next prime is 2214144061. The reversal of 2214144000 is 4414122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2214144000 is a `hidden beast` number, since 221 + 4 + 1 + 440 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1496761344 + 717382656 = 38688^2 + 26784^2 .

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71423985 + ... + 71424015.

Almost surely, 2^2214144000 is an apocalyptic number.

2214144000 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 2214144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123263690).

2214144000 is an abundant number, since it is smaller than the sum of its proper divisors (6032383380).

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

2214144000 is an equidigital number, since it uses as much as digits as its factorization.

2214144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

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

The square root of 2214144000 is about 47054.6915833055. The cubic root of 2214144000 is about 1303.3727019081.

Adding to 2214144000 its reverse (4414122), we get a palindrome (2218558122).

The spelling of 2214144000 in words is "two billion, two hundred fourteen million, one hundred forty-four thousand".