2117144016 has 60 divisors (see below), whose sum is σ = 6380842468. Its totient is φ = 651428352.

The previous prime is 2117143991. The next prime is 2117144021. The reversal of 2117144016 is 6104417112.

2117144016 is a `hidden beast` number, since 211 + 7 + 1 + 440 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 388247616 + 1728896400 = 19704^2 + 41580^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563605 + ... + 567348.

Almost surely, 2^2117144016 is an apocalyptic number.

2117144016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2117144016 is an abundant number, since it is smaller than the sum of its proper divisors (4263698452).

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

2117144016 is a wasteful number, since it uses less digits than its factorization.

2117144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130980 (or 1130971 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2117144016 is about 46012.4332762352. The cubic root of 2117144016 is about 1284.0545293755.

The spelling of 2117144016 in words is "two billion, one hundred seventeen million, one hundred forty-four thousand, sixteen".