2782128982944 has 192 divisors, whose sum is σ = 7603139174400. Its totient is φ = 889799040000.

The previous prime is 2782128982943. The next prime is 2782128982981. The reversal of 2782128982944 is 4492898212872.

2782128982944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2782128982943) 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, 545405994 + ... + 545411094.

It is an arithmetic number, because the mean of its divisors is an integer number (39599683200).

Almost surely, 2^{2782128982944} is an apocalyptic number.

2782128982944 is a gapful number since it is divisible by the number (24) 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 2782128982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801569587200).

2782128982944 is an abundant number, since it is smaller than the sum of its proper divisors (4821010191456).

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

2782128982944 is a wasteful number, since it uses less digits than its factorization.

2782128982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6667 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 66.

The spelling of 2782128982944 in words is "two trillion, seven hundred eighty-two billion, one hundred twenty-eight million, nine hundred eighty-two thousand, nine hundred forty-four".