2723844096 has 156 divisors (see below), whose sum is σ = 8084615292. Its totient is φ = 882966528.

The previous prime is 2723844077. The next prime is 2723844103. The reversal of 2723844096 is 6904483272.

2723844096 is a `hidden beast` number, since 2 + 7 + 238 + 4 + 409 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1128960000 + 1594884096 = 33600^2 + 39936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362970 + ... + 1364966.

It is an arithmetic number, because the mean of its divisors is an integer number (51824457).

Almost surely, 2^2723844096 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 2723844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042307646).

2723844096 is an abundant number, since it is smaller than the sum of its proper divisors (5360771196).

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

2723844096 is a wasteful number, since it uses less digits than its factorization.

2723844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2723844096 is about 52190.4598178633. The cubic root of 2723844096 is about 1396.5636976610.

The spelling of 2723844096 in words is "two billion, seven hundred twenty-three million, eight hundred forty-four thousand, ninety-six".