2330400 has 72 divisors (see below), whose sum is σ = 7593264. Its totient is φ = 620800.

The previous prime is 2330389. The next prime is 2330413. The reversal of 2330400 is 40332.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1915 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

2^2330400 is an apocalyptic number.

2330400 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 2330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796632).

2330400 is an abundant number, since it is smaller than the sum of its proper divisors (5262864).

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

2330400 is a wasteful number, since it uses less digits than its factorization.

2330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2330400 is about 1526.5647709809. The cubic root of 2330400 is about 132.5796364744.

Adding to 2330400 its reverse (40332), we get a palindrome (2370732).

The spelling of 2330400 in words is "two million, three hundred thirty thousand, four hundred".