2340330400 has 72 divisors (see below), whose sum is σ = 5793941664. Its totient is φ = 922924800.

The previous prime is 2340330371. The next prime is 2340330409. The reversal of 2340330400 is 40330432.

It is not an unprimeable number, because it can be changed into a prime (2340330409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36199 + ... + 77401.

It is an arithmetic number, because the mean of its divisors is an integer number (80471412).

Almost surely, 2^2340330400 is an apocalyptic number.

2340330400 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 2340330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896970832).

2340330400 is an abundant number, since it is smaller than the sum of its proper divisors (3453611264).

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

2340330400 is a wasteful number, since it uses less digits than its factorization.

2340330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41294 (or 41281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2340330400 is about 48376.9614589424. The cubic root of 2340330400 is about 1327.6768761923.

Adding to 2340330400 its reverse (40330432), we get a palindrome (2380660832).

The spelling of 2340330400 in words is "two billion, three hundred forty million, three hundred thirty thousand, four hundred".