2012582016 has 48 divisors (see below), whose sum is σ = 5791417710. Its totient is φ = 670860288.

The previous prime is 2012581999. The next prime is 2012582017. The reversal of 2012582016 is 6102852102.

It is a happy number.

2012582016 is a `hidden beast` number, since 201 + 258 + 201 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1176215616 + 836366400 = 34296^2 + 28920^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2012582016² = 8100972742253248512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012582017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 872365 + ... + 874668.

Almost surely, 2^2012582016 is an apocalyptic number.

It is an amenable number.

2012582016 is an abundant number, since it is smaller than the sum of its proper divisors (3778835694).

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

2012582016 is a wasteful number, since it uses less digits than its factorization.

2012582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747053 (or 1747038 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2012582016 is about 44861.8102176004. The cubic root of 2012582016 is about 1262.5575865769.

The spelling of 2012582016 in words is "two billion, twelve million, five hundred eighty-two thousand, sixteen".