2109739100 has 432 divisors, whose sum is σ = 6269598720. Its totient is φ = 609638400.

The previous prime is 2109739087. The next prime is 2109739103. The reversal of 2109739100 is 19379012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109739103) 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 143 ways as a sum of consecutive naturals, for example, 49063679 + ... + 49063721.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 2^2109739100 is an apocalyptic number.

2109739100 is a gapful number since it is divisible by the number (20) 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 2109739100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134799360).

2109739100 is an abundant number, since it is smaller than the sum of its proper divisors (4159859620).

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

2109739100 is a wasteful number, since it uses less digits than its factorization.

2109739100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 2109739100 is about 45931.8963248852. The cubic root of 2109739100 is about 1282.5557456577. Note that the first 3 decimals are identical.

The spelling of 2109739100 in words is "two billion, one hundred nine million, seven hundred thirty-nine thousand, one hundred".