2117813126 has 32 divisors (see below), whose sum is σ = 3746742048. Its totient is φ = 885104640.

The previous prime is 2117813111. The next prime is 2117813149. The reversal of 2117813126 is 6213187112.

It is a junction number, because it is equal to n+sod(n) for n = 2117813092 and 2117813101.

It is a congruent 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, 59096 + ... + 87908.

It is an arithmetic number, because the mean of its divisors is an integer number (117085689).

Almost surely, 2^2117813126 is an apocalyptic number.

2117813126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2117813126 is a deficient number, since it is larger than the sum of its proper divisors (1628928922).

2117813126 is a wasteful number, since it uses less digits than its factorization.

2117813126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29096.

The product of its digits is 4032, while the sum is 32.

The square root of 2117813126 is about 46019.7036713623. The cubic root of 2117813126 is about 1284.1897875697.

The spelling of 2117813126 in words is "two billion, one hundred seventeen million, eight hundred thirteen thousand, one hundred twenty-six".