2248791916800 has 1728 divisors, whose sum is σ = 9197411328000. Its totient is φ = 476115763200.

The previous prime is 2248791916771. The next prime is 2248791916841. The reversal of 2248791916800 is 86191978422.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9409171081 + ... + 9409171319.

It is an arithmetic number, because the mean of its divisors is an integer number (5322576000).

Almost surely, 2^{2248791916800} is an apocalyptic number.

2248791916800 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 2248791916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598705664000).

2248791916800 is an abundant number, since it is smaller than the sum of its proper divisors (6948619411200).

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

2248791916800 is a wasteful number, since it uses less digits than its factorization.

2248791916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 2248791916800 in words is "two trillion, two hundred forty-eight billion, seven hundred ninety-one million, nine hundred sixteen thousand, eight hundred".