2116000075 has 72 divisors (see below), whose sum is σ = 3235023600. Its totient is φ = 1365154560.

The previous prime is 2116000057. The next prime is 2116000093. The reversal of 2116000075 is 5700006112.

It is an interprime number because it is at equal distance from previous prime (2116000057) and next prime (2116000093).

It is not a de Polignac number, because 2116000075 - 2²⁵ = 2082445643 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 5329777 + ... + 5330173.

Almost surely, 2^2116000075 is an apocalyptic number.

2116000075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2116000075 is a deficient number, since it is larger than the sum of its proper divisors (1119023525).

2116000075 is a wasteful number, since it uses less digits than its factorization.

2116000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 2116000075 is about 46000.0008152174. Note that the first 3 decimals coincide. The cubic root of 2116000075 is about 1283.8232197672.

Adding to 2116000075 its reverse (5700006112), we get a palindrome (7816006187).

The spelling of 2116000075 in words is "two billion, one hundred sixteen million, seventy-five", and thus it is an aban number.