2117387808 has 144 divisors (see below), whose sum is σ = 6404632416. Its totient is φ = 661248000.

The previous prime is 2117387803. The next prime is 2117387813. The reversal of 2117387808 is 8087837112.

It is an interprime number because it is at equal distance from previous prime (2117387803) and next prime (2117387813).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2117387808² = 8966662258934089728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2117387803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228035 + ... + 1229757.

It is an arithmetic number, because the mean of its divisors is an integer number (44476614).

Almost surely, 2^2117387808 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 2117387808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202316208).

2117387808 is an abundant number, since it is smaller than the sum of its proper divisors (4287244608).

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

2117387808 is a wasteful number, since it uses less digits than its factorization.

2117387808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 2117387808 is about 46015.0823969707. The cubic root of 2117387808 is about 1284.1038143563.

The spelling of 2117387808 in words is "two billion, one hundred seventeen million, three hundred eighty-seven thousand, eight hundred eight".