2136165600 has 288 divisors, whose sum is σ = 7547704416. Its totient is φ = 522649600.

The previous prime is 2136165593. The next prime is 2136165613. The reversal of 2136165600 is 65616312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1672162 + ... + 1673438.

It is an arithmetic number, because the mean of its divisors is an integer number (26207307).

Almost surely, 2^2136165600 is an apocalyptic number.

2136165600 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 2136165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773852208).

2136165600 is an abundant number, since it is smaller than the sum of its proper divisors (5411538816).

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

2136165600 is a wasteful number, since it uses less digits than its factorization.

2136165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2136165600 is about 46218.6715516576. The cubic root of 2136165600 is about 1287.8886199226. Note that the first 3 decimals are identical.

The spelling of 2136165600 in words is "two billion, one hundred thirty-six million, one hundred sixty-five thousand, six hundred".