2448245760 has 176 divisors, whose sum is σ = 8243678400. Its totient is φ = 618430464.

The previous prime is 2448245753. The next prime is 2448245791. The reversal of 2448245760 is 675428442.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 287646 + ... + 296034.

Almost surely, 2^2448245760 is an apocalyptic number.

2448245760 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 2448245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121839200).

2448245760 is an abundant number, since it is smaller than the sum of its proper divisors (5795432640).

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

2448245760 is a wasteful number, since it uses less digits than its factorization.

2448245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 2448245760 is about 49479.7510098828. The cubic root of 2448245760 is about 1347.7779192535. Note that the first 3 decimals are identical.

The spelling of 2448245760 in words is "two billion, four hundred forty-eight million, two hundred forty-five thousand, seven hundred sixty".