2254304000 has 144 divisors (see below), whose sum is σ = 6048850080. Its totient is φ = 832204800.

The previous prime is 2254303999. The next prime is 2254304011. The reversal of 2254304000 is 4034522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413291 + ... + 418709.

Almost surely, 2^2254304000 is an apocalyptic number.

2254304000 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 2254304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024425040).

2254304000 is an abundant number, since it is smaller than the sum of its proper divisors (3794546080).

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

2254304000 is an equidigital number, since it uses as much as digits as its factorization.

2254304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2254304000 is about 47479.5113706955. The cubic root of 2254304000 is about 1311.2056960927.

Adding to 2254304000 its reverse (4034522), we get a palindrome (2258338522).

The spelling of 2254304000 in words is "two billion, two hundred fifty-four million, three hundred four thousand".