2302304000 has 72 divisors (see below), whose sum is σ = 5735406768. Its totient is φ = 920908800.

The previous prime is 2302303981. The next prime is 2302304009. The reversal of 2302304000 is 4032032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302304009) 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 7 ways as a sum of consecutive naturals, for example, 3974 + ... + 67973.

Almost surely, 2^2302304000 is an apocalyptic number.

2302304000 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 2302304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867703384).

2302304000 is an abundant number, since it is smaller than the sum of its proper divisors (3433102768).

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

2302304000 is an frugal number, since it uses more digits than its factorization.

2302304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71978 (or 71954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2302304000 is about 47982.3300809788. The cubic root of 2302304000 is about 1320.4467419614.

Adding to 2302304000 its reverse (4032032), we get a palindrome (2306336032).

The spelling of 2302304000 in words is "two billion, three hundred two million, three hundred four thousand".