2214311424 has 160 divisors (see below), whose sum is σ = 6399527904. Its totient is φ = 676331520.

The previous prime is 2214311419. The next prime is 2214311459. The reversal of 2214311424 is 4241134122.

It is a super-3 number, since 3×2214311424³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 junction number, because it is equal to n+sod(n) for n = 2214311394 and 2214311403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3454144 + ... + 3454784.

Almost surely, 2^2214311424 is an apocalyptic number.

2214311424 is a gapful number since it is divisible by the number (24) 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 2214311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199763952).

2214311424 is an abundant number, since it is smaller than the sum of its proper divisors (4185216480).

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

2214311424 is a wasteful number, since it uses less digits than its factorization.

2214311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2214311424 is about 47056.4705858822. The cubic root of 2214311424 is about 1303.4055528837.

Adding to 2214311424 its reverse (4241134122), we get a palindrome (6455445546).

The spelling of 2214311424 in words is "two billion, two hundred fourteen million, three hundred eleven thousand, four hundred twenty-four".