2117117080 has 64 divisors (see below), whose sum is σ = 5160506400. Its totient is φ = 781672320.

The previous prime is 2117117077. The next prime is 2117117099. The reversal of 2117117080 is 807117112.

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, 75835 + ... + 99925.

Almost surely, 2^2117117080 is an apocalyptic number.

2117117080 is a gapful number since it is divisible by the number (20) 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 2117117080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580253200).

2117117080 is an abundant number, since it is smaller than the sum of its proper divisors (3043389320).

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

2117117080 is a wasteful number, since it uses less digits than its factorization.

2117117080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24141 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 28.

The square root of 2117117080 is about 46012.1405718100. The cubic root of 2117117080 is about 1284.0490837627.

It can be divided in two parts, 211711 and 7080, that added together give a triangular number (218791 = T₆₆₁).

The spelling of 2117117080 in words is "two billion, one hundred seventeen million, one hundred seventeen thousand, eighty".