2117709456 has 80 divisors (see below), whose sum is σ = 5779987200. Its totient is φ = 667039744.

The previous prime is 2117709437. The next prime is 2117709463. The reversal of 2117709456 is 6549077112.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 49240 + ... + 81608.

It is an arithmetic number, because the mean of its divisors is an integer number (72249840).

Almost surely, 2^2117709456 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 2117709456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889993600).

2117709456 is an abundant number, since it is smaller than the sum of its proper divisors (3662277744).

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

2117709456 is a wasteful number, since it uses less digits than its factorization.

2117709456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32456 (or 32450 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 2117709456 is about 46018.5772922197. The cubic root of 2117709456 is about 1284.1688329151.

The spelling of 2117709456 in words is "two billion, one hundred seventeen million, seven hundred nine thousand, four hundred fifty-six".