2014234040 has 256 divisors, whose sum is σ = 5791564800. Its totient is φ = 613638144.

The previous prime is 2014233997. The next prime is 2014234043. The reversal of 2014234040 is 404324102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014234043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17825024 + ... + 17825136.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^2014234040 is an apocalyptic number.

2014234040 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 2014234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895782400).

2014234040 is an abundant number, since it is smaller than the sum of its proper divisors (3777330760).

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

2014234040 is a wasteful number, since it uses less digits than its factorization.

2014234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2014234040 is about 44880.2188051707. The cubic root of 2014234040 is about 1262.9029480705.

Adding to 2014234040 its reverse (404324102), we get a palindrome (2418558142).

The spelling of 2014234040 in words is "two billion, fourteen million, two hundred thirty-four thousand, forty".