2109458736 has 720 divisors, whose sum is σ = 8490313728. Its totient is φ = 472780800.

The previous prime is 2109458723. The next prime is 2109458737. The reversal of 2109458736 is 6378549012.

2109458736 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2109458736 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2109458691 and 2109458700.

It is not an unprimeable number, because it can be changed into a prime (2109458737) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68047041 + ... + 68047071.

It is a 1-persistent number, because it is pandigital, but 2⋅2109458736 = 4218917472 is not.

Almost surely, 2^2109458736 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 2109458736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245156864).

2109458736 is an abundant number, since it is smaller than the sum of its proper divisors (6380854992).

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

2109458736 is a wasteful number, since it uses less digits than its factorization.

2109458736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2109458736 is about 45928.8442702405. The cubic root of 2109458736 is about 1282.4989300403.

The spelling of 2109458736 in words is "two billion, one hundred nine million, four hundred fifty-eight thousand, seven hundred thirty-six".