2117972142 has 288 divisors, whose sum is σ = 5948866560. Its totient is φ = 538876800.

The previous prime is 2117972107. The next prime is 2117972179. The reversal of 2117972142 is 2412797112.

It is a junction number, because it is equal to n+sod(n) for n = 2117972097 and 2117972106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16676883 + ... + 16677009.

Almost surely, 2^2117972142 is an apocalyptic number.

2117972142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117972142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974433280).

2117972142 is an abundant number, since it is smaller than the sum of its proper divisors (3830894418).

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

2117972142 is a wasteful number, since it uses less digits than its factorization.

2117972142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2117972142 is about 46021.4313336732. The cubic root of 2117972142 is about 1284.2219278957.

The spelling of 2117972142 in words is "two billion, one hundred seventeen million, nine hundred seventy-two thousand, one hundred forty-two".