2784448444872 has 128 divisors (see below), whose sum is σ = 7286102784000. Its totient is φ = 885069504000.

The previous prime is 2784448444861. The next prime is 2784448444873.

2784448444872 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2784448444873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508201029 + ... + 508206507.

It is an arithmetic number, because the mean of its divisors is an integer number (56922678000).

Almost surely, 2^{2784448444872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2784448444872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643051392000).

2784448444872 is an abundant number, since it is smaller than the sum of its proper divisors (4501654339128).

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

2784448444872 is a wasteful number, since it uses less digits than its factorization.

2784448444872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8167 counting only the distinct ones).

The product of its digits is 411041792, while the sum is 66.

The spelling of 2784448444872 in words is "two trillion, seven hundred eighty-four billion, four hundred forty-eight million, four hundred forty-four thousand, eight hundred seventy-two".