2314000000 has 224 divisors, whose sum is σ = 6275310300. Its totient is φ = 844800000.

The previous prime is 2313999973. The next prime is 2314000009. The reversal of 2314000000 is 4132.

It can be written as a sum of positive squares in 14 ways, for example, as 2313994816 + 5184 = 48104^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2314000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25999956 + ... + 26000044.

Almost surely, 2^2314000000 is an apocalyptic number.

2314000000 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 2314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137655150).

2314000000 is an abundant number, since it is smaller than the sum of its proper divisors (3961310300).

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

2314000000 is an frugal number, since it uses more digits than its factorization.

2314000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2314000000 is about 48104.0538832228. The cubic root of 2314000000 is about 1322.6789792110.

Adding to 2314000000 its reverse (4132), we get a palindrome (2314004132).

The spelling of 2314000000 in words is "two billion, three hundred fourteen million", and thus it is an aban number.