2016495936 has 672 divisors, whose sum is σ = 7881689088. Its totient is φ = 477757440.

The previous prime is 2016495931. The next prime is 2016495941. The reversal of 2016495936 is 6395946102.

2016495936 is a `hidden beast` number, since 2 + 0 + 16 + 49 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2016495931) and next prime (2016495941).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 2016495891 and 2016495900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016495931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27623196 + ... + 27623268.

It is an arithmetic number, because the mean of its divisors is an integer number (11728704).

Almost surely, 2^2016495936 is an apocalyptic number.

2016495936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940844544).

2016495936 is an abundant number, since it is smaller than the sum of its proper divisors (5865193152).

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

2016495936 is a wasteful number, since it uses less digits than its factorization.

2016495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2016495936 is about 44905.4109879867. The cubic root of 2016495936 is about 1263.3754993356.

The spelling of 2016495936 in words is "two billion, sixteen million, four hundred ninety-five thousand, nine hundred thirty-six".