2117709000 has 192 divisors, whose sum is σ = 7808935680. Its totient is φ = 513360000.

The previous prime is 2117708959. The next prime is 2117709017. The reversal of 2117709000 is 9077112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88305 + ... + 109695.

It is an arithmetic number, because the mean of its divisors is an integer number (40671540).

Almost surely, 2^2117709000 is an apocalyptic number.

2117709000 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 2117709000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904467840).

2117709000 is an abundant number, since it is smaller than the sum of its proper divisors (5691226680).

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

2117709000 is a wasteful number, since it uses less digits than its factorization.

2117709000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21429 (or 21412 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 2117709000 is about 46018.5723376986. The cubic root of 2117709000 is about 1284.1687407431.

It can be divided in two parts, 2117 and 709000, that added together give a palindrome (711117).

The spelling of 2117709000 in words is "two billion, one hundred seventeen million, seven hundred nine thousand".