2117213616 has 160 divisors (see below), whose sum is σ = 6373306368. Its totient is φ = 593199360.

The previous prime is 2117213599. The next prime is 2117213627. The reversal of 2117213616 is 6163127112.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4533415 + ... + 4533881.

Almost surely, 2^2117213616 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 2117213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186653184).

2117213616 is an abundant number, since it is smaller than the sum of its proper divisors (4256092752).

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

2117213616 is a wasteful number, since it uses less digits than its factorization.

2117213616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 2117213616 is about 46013.1895873346. The cubic root of 2117213616 is about 1284.0686000945.

The spelling of 2117213616 in words is "two billion, one hundred seventeen million, two hundred thirteen thousand, six hundred sixteen".