2749928832 has 256 divisors, whose sum is σ = 9412070400. Its totient is φ = 774144000.

The previous prime is 2749928821. The next prime is 2749928927. The reversal of 2749928832 is 2388299472.

It is a happy number.

2749928832 is a `hidden beast` number, since 274 + 99 + 288 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1716832 + ... + 1718432.

It is an arithmetic number, because the mean of its divisors is an integer number (36765900).

Almost surely, 2^2749928832 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 2749928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706035200).

2749928832 is an abundant number, since it is smaller than the sum of its proper divisors (6662141568).

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

2749928832 is a wasteful number, since it uses less digits than its factorization.

2749928832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1684 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2749928832 is about 52439.7638438618. The cubic root of 2749928832 is about 1401.0075794334.

The spelling of 2749928832 in words is "two billion, seven hundred forty-nine million, nine hundred twenty-eight thousand, eight hundred thirty-two".