2214144432 has 180 divisors, whose sum is σ = 6570963360. Its totient is φ = 695643648.

The previous prime is 2214144409. The next prime is 2214144469. The reversal of 2214144432 is 2344414122.

2214144432 is a `hidden beast` number, since 2 + 214 + 1 + 4 + 443 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2214144396 and 2214144405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5691694 + ... + 5692082.

It is an arithmetic number, because the mean of its divisors is an integer number (36505352).

Almost surely, 2^2214144432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285481680).

2214144432 is an abundant number, since it is smaller than the sum of its proper divisors (4356818928).

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

2214144432 is a wasteful number, since it uses less digits than its factorization.

2214144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 470 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2214144432 is about 47054.6961737083. The cubic root of 2214144432 is about 1303.3727866748.

Adding to 2214144432 its reverse (2344414122), we get a palindrome (4558558554).

The spelling of 2214144432 in words is "two billion, two hundred fourteen million, one hundred forty-four thousand, four hundred thirty-two".