2181374888448 has 320 divisors, whose sum is σ = 6705070276608. Its totient is φ = 617302425600.

The previous prime is 2181374888447. The next prime is 2181374888491. The reversal of 2181374888448 is 8448884731812.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2181374888447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211201148 + ... + 1211202948.

Almost surely, 2^{2181374888448} is an apocalyptic number.

2181374888448 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 2181374888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352535138304).

2181374888448 is an abundant number, since it is smaller than the sum of its proper divisors (4523695388160).

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

2181374888448 is a wasteful number, since it uses less digits than its factorization.

2181374888448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2827 counting only the distinct ones).

The product of its digits is 88080384, while the sum is 66.

The spelling of 2181374888448 in words is "two trillion, one hundred eighty-one billion, three hundred seventy-four million, eight hundred eighty-eight thousand, four hundred forty-eight".