2214424320 has 144 divisors (see below), whose sum is σ = 7237329792. Its totient is φ = 576737280.

The previous prime is 2214424319. The next prime is 2214424321. The reversal of 2214424320 is 234244122.

2214424320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2214424319) and next prime (2214424321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214424321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158415 + ... + 171825.

Almost surely, 2^2214424320 is an apocalyptic number.

2214424320 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 2214424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618664896).

2214424320 is an abundant number, since it is smaller than the sum of its proper divisors (5022905472).

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

2214424320 is a wasteful number, since it uses less digits than its factorization.

2214424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13478 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2214424320 is about 47057.6701505716. The cubic root of 2214424320 is about 1303.4277037536.

Adding to 2214424320 its reverse (234244122), we get a palindrome (2448668442).

It can be divided in two parts, 22144 and 24320, that added together give a palindrome (46464).

The spelling of 2214424320 in words is "two billion, two hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".