2250304000 has 160 divisors (see below), whose sum is σ = 6414160896. Its totient is φ = 771379200.

The previous prime is 2250303977. The next prime is 2250304003. The reversal of 2250304000 is 4030522.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2250304003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445489 + ... + 450511.

Almost surely, 2^2250304000 is an apocalyptic number.

2250304000 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 2250304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207080448).

2250304000 is an abundant number, since it is smaller than the sum of its proper divisors (4163856896).

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

2250304000 is an frugal number, since it uses more digits than its factorization.

2250304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2250304000 is about 47437.3692356564. The cubic root of 2250304000 is about 1310.4297096604.

Adding to 2250304000 its reverse (4030522), we get a palindrome (2254334522).

The spelling of 2250304000 in words is "two billion, two hundred fifty million, three hundred four thousand".