2448901086720 has 960 divisors, whose sum is σ = 9173212519680. Its totient is φ = 552488140800.

The previous prime is 2448901086689. The next prime is 2448901086721. The reversal of 2448901086720 is 276801098442.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448901086721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1799338840 + ... + 1799340200.

It is an arithmetic number, because the mean of its divisors is an integer number (9555429708).

Almost surely, 2^{2448901086720} is an apocalyptic number.

2448901086720 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 2448901086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586606259840).

2448901086720 is an abundant number, since it is smaller than the sum of its proper divisors (6724311432960).

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

2448901086720 is a wasteful number, since it uses less digits than its factorization.

2448901086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 2448901086720 in words is "two trillion, four hundred forty-eight billion, nine hundred one million, eighty-six thousand, seven hundred twenty".