2117896704 has 480 divisors, whose sum is σ = 7844069376. Its totient is φ = 534159360.

The previous prime is 2117896681. The next prime is 2117896727. The reversal of 2117896704 is 4076987112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2117896681) and next prime (2117896727).

It is a self number, because there is not a number n which added to its sum of digits gives 2117896704.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16676289 + ... + 16676415.

Almost surely, 2^2117896704 is an apocalyptic number.

2117896704 is a gapful number since it is divisible by the number (24) 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 2117896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922034688).

2117896704 is an abundant number, since it is smaller than the sum of its proper divisors (5726172672).

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

2117896704 is a wasteful number, since it uses less digits than its factorization.

2117896704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2117896704 is about 46020.6117299629. The cubic root of 2117896704 is about 1284.2066805620.

The spelling of 2117896704 in words is "two billion, one hundred seventeen million, eight hundred ninety-six thousand, seven hundred four".