2014414304 has 96 divisors (see below), whose sum is σ = 4651315200. Its totient is φ = 858404736.

The previous prime is 2014414261. The next prime is 2014414309. The reversal of 2014414304 is 4034144102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2014414304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014414309) 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, 2447237 + ... + 2448059.

It is an arithmetic number, because the mean of its divisors is an integer number (48451200).

Almost surely, 2^2014414304 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 2014414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325657600).

2014414304 is an abundant number, since it is smaller than the sum of its proper divisors (2636900896).

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

2014414304 is an equidigital number, since it uses as much as digits as its factorization.

2014414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2014414304 is about 44882.2270392190. The cubic root of 2014414304 is about 1262.9406214725.

Adding to 2014414304 its reverse (4034144102), we get a palindrome (6048558406).

The spelling of 2014414304 in words is "two billion, fourteen million, four hundred fourteen thousand, three hundred four".