2722048992 has 288 divisors, whose sum is σ = 8805888000. Its totient is φ = 791700480.

The previous prime is 2722048949. The next prime is 2722049047. The reversal of 2722048992 is 2998402272.

2722048992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5454759 + ... + 5455257.

It is an arithmetic number, because the mean of its divisors is an integer number (30576000).

Almost surely, 2^2722048992 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 2722048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944000).

2722048992 is an abundant number, since it is smaller than the sum of its proper divisors (6083839008).

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

2722048992 is a wasteful number, since it uses less digits than its factorization.

2722048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2722048992 is about 52173.2593576441. The cubic root of 2722048992 is about 1396.2568362401.

The spelling of 2722048992 in words is "two billion, seven hundred twenty-two million, forty-eight thousand, nine hundred ninety-two".