2314003140 has 120 divisors (see below), whose sum is σ = 7272524952. Its totient is φ = 615928320.

The previous prime is 2314003117. The next prime is 2314003151. The reversal of 2314003140 is 413004132.

2314003140 is a `hidden beast` number, since 231 + 400 + 31 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 2313225216 = 882^2 + 48096^2 .

It is a super-2 number, since 2×2314003140² = 10709221063859719200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1231882 + ... + 1233758.

Almost surely, 2^2314003140 is an apocalyptic number.

2314003140 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 2314003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636262476).

2314003140 is an abundant number, since it is smaller than the sum of its proper divisors (4958521812).

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

2314003140 is a wasteful number, since it uses less digits than its factorization.

2314003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2314003140 is about 48104.0865207936. The cubic root of 2314003140 is about 1322.6795774839.

Adding to 2314003140 its reverse (413004132), we get a palindrome (2727007272).

The spelling of 2314003140 in words is "two billion, three hundred fourteen million, three thousand, one hundred forty".