2102089728 has 96 divisors (see below), whose sum is σ = 5641272000. Its totient is φ = 696066048.

The previous prime is 2102089723. The next prime is 2102089733. The reversal of 2102089728 is 8279802012.

It is an interprime number because it is at equal distance from previous prime (2102089723) and next prime (2102089733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2102089728² = 8837562449126227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102089723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1000423 + ... + 1002521.

It is an arithmetic number, because the mean of its divisors is an integer number (58763250).

Almost surely, 2^2102089728 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 2102089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820636000).

2102089728 is an abundant number, since it is smaller than the sum of its proper divisors (3539182272).

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

2102089728 is a wasteful number, since it uses less digits than its factorization.

2102089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2102089728 is about 45848.5520818270. The cubic root of 2102089728 is about 1281.0037959352.

The spelling of 2102089728 in words is "two billion, one hundred two million, eighty-nine thousand, seven hundred twenty-eight".