2023232400 has 180 divisors, whose sum is σ = 8024303872. Its totient is φ = 462447360.

The previous prime is 2023232389. The next prime is 2023232411. The reversal of 2023232400 is 42323202.

2023232400 is a `hidden beast` number, since 2 + 0 + 232 + 32 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2023232389) and next prime (2023232411).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14944 + ... + 65343.

Almost surely, 2^2023232400 is an apocalyptic number.

2023232400 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 2023232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012151936).

2023232400 is an abundant number, since it is smaller than the sum of its proper divisors (6001071472).

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

2023232400 is a wasteful number, since it uses less digits than its factorization.

2023232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80318 (or 80304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023232400 is about 44980.3557122440. The cubic root of 2023232400 is about 1264.7807792928.

Adding to 2023232400 its reverse (42323202), we get a palindrome (2065555602).

The spelling of 2023232400 in words is "two billion, twenty-three million, two hundred thirty-two thousand, four hundred".