2100839328 has 480 divisors, whose sum is σ = 7683984000. Its totient is φ = 560867328.

The previous prime is 2100839287. The next prime is 2100839371. The reversal of 2100839328 is 8239380012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2100839292 and 2100839301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15113883 + ... + 15114021.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2^2100839328 is an apocalyptic number.

2100839328 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 2100839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841992000).

2100839328 is an abundant number, since it is smaller than the sum of its proper divisors (5583144672).

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

2100839328 is a wasteful number, since it uses less digits than its factorization.

2100839328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2100839328 is about 45834.9138539607. The cubic root of 2100839328 is about 1280.7497495567.

The spelling of 2100839328 in words is "two billion, one hundred million, eight hundred thirty-nine thousand, three hundred twenty-eight".