2340314400 has 144 divisors (see below), whose sum is σ = 7949116224. Its totient is φ = 596935680.

The previous prime is 2340314369. The next prime is 2340314429. The reversal of 2340314400 is 44130432.

2340314400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34002 + ... + 76398.

It is an arithmetic number, because the mean of its divisors is an integer number (55202196).

Almost surely, 2^2340314400 is an apocalyptic number.

2340314400 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 2340314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974558112).

2340314400 is an abundant number, since it is smaller than the sum of its proper divisors (5608801824).

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

2340314400 is a wasteful number, since it uses less digits than its factorization.

2340314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42443 (or 42430 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2340314400 is about 48376.7960906879. The cubic root of 2340314400 is about 1327.6738505685.

Adding to 2340314400 its reverse (44130432), we get a palindrome (2384444832).

The spelling of 2340314400 in words is "two billion, three hundred forty million, three hundred fourteen thousand, four hundred".