2136816000 has 768 divisors, whose sum is σ = 8936179200. Its totient is φ = 483840000.

The previous prime is 2136815987. The next prime is 2136816013. The reversal of 2136816000 is 6186312.

2136816000 is a `hidden beast` number, since 21 + 36 + 8 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2136815987) and next prime (2136816013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30095965 + ... + 30096035.

It is an arithmetic number, because the mean of its divisors is an integer number (11635650).

Almost surely, 2^2136816000 is an apocalyptic number.

2136816000 is a gapful number since it is divisible by the number (20) 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 2136816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468089600).

2136816000 is an abundant number, since it is smaller than the sum of its proper divisors (6799363200).

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

2136816000 is a wasteful number, since it uses less digits than its factorization.

2136816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2136816000 is about 46225.7071335853. The cubic root of 2136816000 is about 1288.0193148088.

The spelling of 2136816000 in words is "two billion, one hundred thirty-six million, eight hundred sixteen thousand".