2014093440 has 288 divisors, whose sum is σ = 7281450540. Its totient is φ = 512962560.

The previous prime is 2014093399. The next prime is 2014093441. The reversal of 2014093440 is 443904102.

It can be written as a sum of positive squares in 2 ways, for example, as 1999162944 + 14930496 = 44712^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2014093441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046710 + ... + 3047370.

Almost surely, 2^2014093440 is an apocalyptic number.

2014093440 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 2014093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640725270).

2014093440 is an abundant number, since it is smaller than the sum of its proper divisors (5267357100).

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

2014093440 is a wasteful number, since it uses less digits than its factorization.

2014093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2014093440 is about 44878.6523861847. The cubic root of 2014093440 is about 1262.8735624939.

Adding to 2014093440 its reverse (443904102), we get a palindrome (2457997542).

The spelling of 2014093440 in words is "two billion, fourteen million, ninety-three thousand, four hundred forty".