2052105328 has 80 divisors (see below), whose sum is σ = 4904061120. Its totient is φ = 810067968.

The previous prime is 2052105299. The next prime is 2052105347. The reversal of 2052105328 is 8235012502.

It is a super-2 number, since 2×2052105328² = 8422272554411975168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2052105296 and 2052105305.

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 15 ways as a sum of consecutive naturals, for example, 827226 + ... + 829702.

It is an arithmetic number, because the mean of its divisors is an integer number (61300764).

Almost surely, 2^2052105328 is an apocalyptic number.

2052105328 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 2052105328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452030560).

2052105328 is an abundant number, since it is smaller than the sum of its proper divisors (2851955792).

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

2052105328 is a wasteful number, since it uses less digits than its factorization.

2052105328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2052105328 is about 45300.1691829070. The cubic root of 2052105328 is about 1270.7688171475.

The spelling of 2052105328 in words is "two billion, fifty-two million, one hundred five thousand, three hundred twenty-eight".