2832942349776 has 480 divisors, whose sum is σ = 9659501752320. Its totient is φ = 694889395200.

The previous prime is 2832942349703. The next prime is 2832942349807. The reversal of 2832942349776 is 6779432492382.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154450366 + ... + 154468706.

It is an arithmetic number, because the mean of its divisors is an integer number (20123961984).

Almost surely, 2^{2832942349776} 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 2832942349776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829750876160).

2832942349776 is an abundant number, since it is smaller than the sum of its proper divisors (6826559402544).

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

2832942349776 is a wasteful number, since it uses less digits than its factorization.

2832942349776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18495 (or 18466 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 66.

The spelling of 2832942349776 in words is "two trillion, eight hundred thirty-two billion, nine hundred forty-two million, three hundred forty-nine thousand, seven hundred seventy-six".