2314000 has 80 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 844800.

The previous prime is 2313977. The next prime is 2314003. The reversal of 2314000 is 4132.

It can be written as a sum of positive squares in 8 ways, for example, as 1567504 + 746496 = 1252^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (2314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25956 + ... + 26044.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2^2314000 is an apocalyptic number.

2314000 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 2314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2314000 is an abundant number, since it is smaller than the sum of its proper divisors (3779360).

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

2314000 is a wasteful number, since it uses less digits than its factorization.

2314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

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

The square root of 2314000 is about 1521.1837495845. The cubic root of 2314000 is about 132.2678979211.

Adding to 2314000 its reverse (4132), we get a palindrome (2318132).

The spelling of 2314000 in words is "two million, three hundred fourteen thousand".