2214325440 has 168 divisors, whose sum is σ = 7650601920. Its totient is φ = 587833344.

The previous prime is 2214325439. The next prime is 2214325459. The reversal of 2214325440 is 445234122.

2214325440 is a `hidden beast` number, since 2 + 214 + 3 + 2 + 5 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686712 + ... + 689928.

Almost surely, 2^2214325440 is an apocalyptic number.

2214325440 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 2214325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825300960).

2214325440 is an abundant number, since it is smaller than the sum of its proper divisors (5436276480).

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

2214325440 is a wasteful number, since it uses less digits than its factorization.

2214325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2214325440 is about 47056.6195130929. The cubic root of 2214325440 is about 1303.4083029476.

Adding to 2214325440 its reverse (445234122), we get a palindrome (2659559562).

The spelling of 2214325440 in words is "two billion, two hundred fourteen million, three hundred twenty-five thousand, four hundred forty".