2109813000 has 128 divisors (see below), whose sum is σ = 6869041920. Its totient is φ = 538137600.

The previous prime is 2109812993. The next prime is 2109813007. The reversal of 2109813000 is 3189012.

It is an interprime number because it is at equal distance from previous prime (2109812993) and next prime (2109813007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2109813007) 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 31 ways as a sum of consecutive naturals, for example, 53712 + ... + 84288.

It is an arithmetic number, because the mean of its divisors is an integer number (53664390).

Almost surely, 2^2109813000 is an apocalyptic number.

2109813000 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 2109813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434520960).

2109813000 is an abundant number, since it is smaller than the sum of its proper divisors (4759228920).

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

2109813000 is a wasteful number, since it uses less digits than its factorization.

2109813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30624 (or 30610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2109813000 is about 45932.7007697131. The cubic root of 2109813000 is about 1282.5707206156.

The spelling of 2109813000 in words is "two billion, one hundred nine million, eight hundred thirteen thousand".