2329538400 has 864 divisors, whose sum is σ = 10259343360. Its totient is φ = 508032000.

The previous prime is 2329538383. The next prime is 2329538401. The reversal of 2329538400 is 48359232.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329538401) 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 143 ways as a sum of consecutive naturals, for example, 32810365 + ... + 32810435.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^2329538400 is an apocalyptic number.

2329538400 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 2329538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

2329538400 is an abundant number, since it is smaller than the sum of its proper divisors (7929804960).

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

2329538400 is a wasteful number, since it uses less digits than its factorization.

2329538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2329538400 is about 48265.2918772900. The cubic root of 2329538400 is about 1325.6329526040.

The spelling of 2329538400 in words is "two billion, three hundred twenty-nine million, five hundred thirty-eight thousand, four hundred".