2752304000 has 192 divisors, whose sum is σ = 7110277200. Its totient is φ = 1059456000.

The previous prime is 2752303991. The next prime is 2752304069. The reversal of 2752304000 is 4032572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15375911 + ... + 15376089.

Almost surely, 2^2752304000 is an apocalyptic number.

2752304000 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 2752304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555138600).

2752304000 is an abundant number, since it is smaller than the sum of its proper divisors (4357973200).

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

2752304000 is an equidigital number, since it uses as much as digits as its factorization.

2752304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 2752304000 is about 52462.4055872393. The cubic root of 2752304000 is about 1401.4108226913.

Adding to 2752304000 its reverse (4032572), we get a palindrome (2756336572).

The spelling of 2752304000 in words is "two billion, seven hundred fifty-two million, three hundred four thousand".