2079368928 has 384 divisors, whose sum is σ = 7620480000. Its totient is φ = 536979456.

The previous prime is 2079368909. The next prime is 2079368939. The reversal of 2079368928 is 8298639702.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4166823 + ... + 4167321.

It is an arithmetic number, because the mean of its divisors is an integer number (19845000).

Almost surely, 2^2079368928 is an apocalyptic number.

2079368928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240000).

2079368928 is an abundant number, since it is smaller than the sum of its proper divisors (5541111072).

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

2079368928 is a wasteful number, since it uses less digits than its factorization.

2079368928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2079368928 is about 45600.0978946318. The cubic root of 2079368928 is about 1276.3717499268.

The spelling of 2079368928 in words is "two billion, seventy-nine million, three hundred sixty-eight thousand, nine hundred twenty-eight".