2782884526432 has 72 divisors (see below), whose sum is σ = 5636444165856. Its totient is φ = 1352488320000.

The previous prime is 2782884526403. The next prime is 2782884526439. The reversal of 2782884526432 is 2346254882872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782884526439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14482182 + ... + 14673082.

It is an arithmetic number, because the mean of its divisors is an integer number (78283946748).

Almost surely, 2^{2782884526432} 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 2782884526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818222082928).

2782884526432 is an abundant number, since it is smaller than the sum of its proper divisors (2853559639424).

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

2782884526432 is a wasteful number, since it uses less digits than its factorization.

2782884526432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191264 (or 191215 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 61.

The spelling of 2782884526432 in words is "two trillion, seven hundred eighty-two billion, eight hundred eighty-four million, five hundred twenty-six thousand, four hundred thirty-two".