2100643328 has 240 divisors, whose sum is σ = 5247057024. Its totient is φ = 836075520.

The previous prime is 2100643277. The next prime is 2100643339. The reversal of 2100643328 is 8233460012.

It is a self number, because there is not a number n which added to its sum of digits gives 2100643328.

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 23 ways as a sum of consecutive naturals, for example, 28775900 + ... + 28775972.

Almost surely, 2^2100643328 is an apocalyptic number.

2100643328 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 2100643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623528512).

2100643328 is an abundant number, since it is smaller than the sum of its proper divisors (3146413696).

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

2100643328 is an equidigital number, since it uses as much as digits as its factorization.

2100643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2100643328 is about 45832.7756960017. The cubic root of 2100643328 is about 1280.7099186893.

The spelling of 2100643328 in words is "two billion, one hundred million, six hundred forty-three thousand, three hundred twenty-eight".