2214381312 has 486 divisors, whose sum is σ = 7760830896. Its totient is φ = 606228480.

The previous prime is 2214381307. The next prime is 2214381329. The reversal of 2214381312 is 2131834122.

2214381312 is a `hidden beast` number, since 221 + 438 + 1 + 3 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 47114473 + ... + 47114519.

Almost surely, 2^2214381312 is an apocalyptic number.

2214381312 is a gapful number since it is divisible by the number (22) 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 2214381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880415448).

2214381312 is an abundant number, since it is smaller than the sum of its proper divisors (5546449584).

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

2214381312 is a wasteful number, since it uses less digits than its factorization.

2214381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2214381312 is about 47057.2131771528. The cubic root of 2214381312 is about 1303.4192654157.

The spelling of 2214381312 in words is "two billion, two hundred fourteen million, three hundred eighty-one thousand, three hundred twelve".