2116512 has 36 divisors (see below), whose sum is σ = 6019650. Its totient is φ = 705408.

The previous prime is 2116501. The next prime is 2116519. The reversal of 2116512 is 2156112.

2116512 is a `hidden beast` number, since 2 + 11 + 651 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1648656 + 467856 = 1284^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2116512² = 8959246092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2116519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3387 + ... + 3962.

2^2116512 is an apocalyptic number.

It is an amenable number.

2116512 is an abundant number, since it is smaller than the sum of its proper divisors (3903138).

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

2116512 is a wasteful number, since it uses less digits than its factorization.

2116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7354 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2116512 is about 1454.8237006593. The cubic root of 2116512 is about 128.3926743426.

It can be divided in two parts, 2116 and 512, that added together give a triangular number (2628 = T₇₂).

The spelling of 2116512 in words is "two million, one hundred sixteen thousand, five hundred twelve".