2749829824 has 84 divisors (see below), whose sum is σ = 6362501880. Its totient is φ = 1175731200.

The previous prime is 2749829813. The next prime is 2749829869. The reversal of 2749829824 is 4289289472.

It is a happy number.

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, 1884007 + ... + 1885465.

It is an arithmetic number, because the mean of its divisors is an integer number (75744070).

Almost surely, 2^2749829824 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 2749829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181250940).

2749829824 is an abundant number, since it is smaller than the sum of its proper divisors (3612672056).

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

2749829824 is a wasteful number, since it uses less digits than its factorization.

2749829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2069 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The square root of 2749829824 is about 52438.8198189090. The cubic root of 2749829824 is about 1400.9907653470.

The spelling of 2749829824 in words is "two billion, seven hundred forty-nine million, eight hundred twenty-nine thousand, eight hundred twenty-four".