2724883648 has 56 divisors (see below), whose sum is σ = 5611055072. Its totient is φ = 1311842304.

The previous prime is 2724883627. The next prime is 2724883649. The reversal of 2724883648 is 8463884272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2724883595 and 2724883604.

It is not an unprimeable number, because it can be changed into a prime (2724883649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223765 + ... + 235627.

It is an arithmetic number, because the mean of its divisors is an integer number (100197412).

Almost surely, 2^2724883648 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 2724883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805527536).

2724883648 is an abundant number, since it is smaller than the sum of its proper divisors (2886171424).

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

2724883648 is a wasteful number, since it uses less digits than its factorization.

2724883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 11999 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 52.

The square root of 2724883648 is about 52200.4180826169. The cubic root of 2724883648 is about 1396.7413407125.

The spelling of 2724883648 in words is "two billion, seven hundred twenty-four million, eight hundred eighty-three thousand, six hundred forty-eight".