2325148800 has 384 divisors, whose sum is σ = 8527787520. Its totient is φ = 552960000.

The previous prime is 2325148781. The next prime is 2325148801. The reversal of 2325148800 is 88415232.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325148801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3868500 + ... + 3869100.

It is an arithmetic number, because the mean of its divisors is an integer number (22207780).

Almost surely, 2^2325148800 is an apocalyptic number.

2325148800 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 2325148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263893760).

2325148800 is an abundant number, since it is smaller than the sum of its proper divisors (6202638720).

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

2325148800 is a wasteful number, since it uses less digits than its factorization.

2325148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2325148800 is about 48219.7967643996. The cubic root of 2325148800 is about 1324.7997893766.

It can be divided in two parts, 2325 and 148800, that multiplied together give a square (345960000 = 18600²).

The spelling of 2325148800 in words is "two billion, three hundred twenty-five million, one hundred forty-eight thousand, eight hundred".