2329430400 has 960 divisors, whose sum is σ = 10100692800. Its totient is φ = 522547200.

The previous prime is 2329430393. The next prime is 2329430413. The reversal of 2329430400 is 40349232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54172779 + ... + 54172821.

It is an arithmetic number, because the mean of its divisors is an integer number (10521555).

Almost surely, 2^2329430400 is an apocalyptic number.

2329430400 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 2329430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050346400).

2329430400 is an abundant number, since it is smaller than the sum of its proper divisors (7771262400).

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

2329430400 is a wasteful number, since it uses less digits than its factorization.

2329430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2329430400 is about 48264.1730479245. The cubic root of 2329430400 is about 1325.6124663464.

Adding to 2329430400 its reverse (40349232), we get a palindrome (2369779632).

The spelling of 2329430400 in words is "two billion, three hundred twenty-nine million, four hundred thirty thousand, four hundred".