2108189952 has 216 divisors, whose sum is σ = 6680838528. Its totient is φ = 634060800.

The previous prime is 2108189921. The next prime is 2108189969. The reversal of 2108189952 is 2599818012.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2108189898 and 2108189907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4891177 + ... + 4891607.

It is an arithmetic number, because the mean of its divisors is an integer number (30929808).

Almost surely, 2^2108189952 is an apocalyptic number.

2108189952 is a gapful number since it is divisible by the number (22) 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 2108189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340419264).

2108189952 is an abundant number, since it is smaller than the sum of its proper divisors (4572648576).

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

2108189952 is a wasteful number, since it uses less digits than its factorization.

2108189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 2108189952 is about 45915.0296961681. The cubic root of 2108189952 is about 1282.2417486686.

The spelling of 2108189952 in words is "two billion, one hundred eight million, one hundred eighty-nine thousand, nine hundred fifty-two".