2448220507488 has 288 divisors, whose sum is σ = 8175017410560. Its totient is φ = 680315397120.

The previous prime is 2448220507441. The next prime is 2448220507507. The reversal of 2448220507488 is 8847050228442.

It is a happy number.

2448220507488 is a `hidden beast` number, since 2 + 448 + 2 + 2 + 0 + 50 + 74 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252936633 + ... + 252946311.

It is an arithmetic number, because the mean of its divisors is an integer number (28385477120).

Almost surely, 2^{2448220507488} is an apocalyptic number.

2448220507488 is a gapful number since it is divisible by the number (28) 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 2448220507488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087508705280).

2448220507488 is an abundant number, since it is smaller than the sum of its proper divisors (5726796903072).

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

2448220507488 is a wasteful number, since it uses less digits than its factorization.

2448220507488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130 (or 13119 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 2448220507488 in words is "two trillion, four hundred forty-eight billion, two hundred twenty million, five hundred seven thousand, four hundred eighty-eight".