2981779328 has 128 divisors (see below), whose sum is σ = 6900422400. Its totient is φ = 1268408320.

The previous prime is 2981779319. The next prime is 2981779357. The reversal of 2981779328 is 8239771892.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8305613 + ... + 8305971.

It is an arithmetic number, because the mean of its divisors is an integer number (53909550).

Almost surely, 2^2981779328 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 2981779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450211200).

2981779328 is an abundant number, since it is smaller than the sum of its proper divisors (3918643072).

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

2981779328 is a wasteful number, since it uses less digits than its factorization.

2981779328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 56.

The square root of 2981779328 is about 54605.6712073023. The cubic root of 2981779328 is about 1439.3237771462.

The spelling of 2981779328 in words is "two billion, nine hundred eighty-one million, seven hundred seventy-nine thousand, three hundred twenty-eight".