2448432000 has 576 divisors, whose sum is σ = 10257989040. Its totient is φ = 558028800.

The previous prime is 2448431977. The next prime is 2448432067. The reversal of 2448432000 is 2348442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7055827 + ... + 7056173.

Almost surely, 2^2448432000 is an apocalyptic number.

2448432000 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 2448432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128994520).

2448432000 is an abundant number, since it is smaller than the sum of its proper divisors (7809557040).

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

2448432000 is a wasteful number, since it uses less digits than its factorization.

2448432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2448432000 is about 49481.6329560778. The cubic root of 2448432000 is about 1347.8120938993.

The spelling of 2448432000 in words is "two billion, four hundred forty-eight million, four hundred thirty-two thousand".