2314114440 has 128 divisors (see below), whose sum is σ = 7588667520. Its totient is φ = 559872000.

The previous prime is 2314114403. The next prime is 2314114441. The reversal of 2314114440 is 444114132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2314114440.

It is not an unprimeable number, because it can be changed into a prime (2314114441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791862 + ... + 794778.

It is an arithmetic number, because the mean of its divisors is an integer number (59286465).

Almost surely, 2^2314114440 is an apocalyptic number.

2314114440 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 2314114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794333760).

2314114440 is an abundant number, since it is smaller than the sum of its proper divisors (5274553080).

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

2314114440 is a wasteful number, since it uses less digits than its factorization.

2314114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2314114440 is about 48105.2433732540. The cubic root of 2314114440 is about 1322.7007834299.

Adding to 2314114440 its reverse (444114132), we get a palindrome (2758228572).

The spelling of 2314114440 in words is "two billion, three hundred fourteen million, one hundred fourteen thousand, four hundred forty".