2448720000 has 480 divisors, whose sum is σ = 9320454000. Its totient is φ = 615168000.

The previous prime is 2448719971. The next prime is 2448720007. The reversal of 2448720000 is 278442.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (2448720007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13679911 + ... + 13680089.

Almost surely, 2^2448720000 is an apocalyptic number.

2448720000 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 2448720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660227000).

2448720000 is an abundant number, since it is smaller than the sum of its proper divisors (6871734000).

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

2448720000 is a wasteful number, since it uses less digits than its factorization.

2448720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2448720000 is about 49484.5430412366. The cubic root of 2448720000 is about 1347.8649378778.

Adding to 2448720000 its reverse (278442), we get a palindrome (2448998442).

The spelling of 2448720000 in words is "two billion, four hundred forty-eight million, seven hundred twenty thousand".