2117100084 has 48 divisors (see below), whose sum is σ = 5408254656. Its totient is φ = 639251200.

The previous prime is 2117100071. The next prime is 2117100109. The reversal of 2117100084 is 4800017112.

It is a super-2 number, since 2×2117100084² = 8964225531345614112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8554 + ... + 65630.

It is an arithmetic number, because the mean of its divisors is an integer number (112671972).

Almost surely, 2^2117100084 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 2117100084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704127328).

2117100084 is an abundant number, since it is smaller than the sum of its proper divisors (3291154572).

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

2117100084 is a wasteful number, since it uses less digits than its factorization.

2117100084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57376 (or 57374 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 2117100084 is about 46011.9558810534. The cubic root of 2117100084 is about 1284.0456476818.

Adding to 2117100084 its reverse (4800017112), we get a palindrome (6917117196).

It can be divided in two parts, 2117 and 100084, that added together give a palindrome (102201).

The spelling of 2117100084 in words is "two billion, one hundred seventeen million, one hundred thousand, eighty-four".