2722833128832 has 128 divisors (see below), whose sum is σ = 7422595488000. Its totient is φ = 884041426944.

The previous prime is 2722833128791. The next prime is 2722833128833. The reversal of 2722833128832 is 2388213382272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722833128833) 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 15 ways as a sum of consecutive naturals, for example, 1918213 + ... + 3020795.

It is an arithmetic number, because the mean of its divisors is an integer number (57989027250).

Almost surely, 2^{2722833128832} 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 2722833128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711297744000).

2722833128832 is an abundant number, since it is smaller than the sum of its proper divisors (4699762359168).

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

2722833128832 is a wasteful number, since it uses less digits than its factorization.

2722833128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102768 (or 1102756 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 2722833128832 in words is "two trillion, seven hundred twenty-two billion, eight hundred thirty-three million, one hundred twenty-eight thousand, eight hundred thirty-two".