2303424000 has 640 divisors, whose sum is σ = 8987996160. Its totient is φ = 580608000.

The previous prime is 2303423999. The next prime is 2303424001. The reversal of 2303424000 is 4243032.

2303424000 is a `hidden beast` number, since 230 + 34 + 2 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2303423999) and next prime (2303424001).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303424001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53567979 + ... + 53568021.

It is an arithmetic number, because the mean of its divisors is an integer number (14043744).

Almost surely, 2^2303424000 is an apocalyptic number.

2303424000 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 2303424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493998080).

2303424000 is an abundant number, since it is smaller than the sum of its proper divisors (6684572160).

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

2303424000 is an equidigital number, since it uses as much as digits as its factorization.

2303424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

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

The square root of 2303424000 is about 47993.9996249531. Note that the first 3 decimals coincide. The cubic root of 2303424000 is about 1320.6608261429.

Adding to 2303424000 its reverse (4243032), we get a palindrome (2307667032).

The spelling of 2303424000 in words is "two billion, three hundred three million, four hundred twenty-four thousand".