2136541600 has 36 divisors (see below), whose sum is σ = 5215834134. Its totient is φ = 854616320.

The previous prime is 2136541573. The next prime is 2136541601. The reversal of 2136541600 is 61456312.

It can be written as a sum of positive squares in 3 ways, for example, as 1927912464 + 208629136 = 43908^2 + 14444^2 .

It is not an unprimeable number, because it can be changed into a prime (2136541601) 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, 1334539 + ... + 1336138.

Almost surely, 2^2136541600 is an apocalyptic number.

2136541600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136541600 is an abundant number, since it is smaller than the sum of its proper divisors (3079292534).

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

2136541600 is a wasteful number, since it uses less digits than its factorization.

2136541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670697 (or 2670684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2136541600 is about 46222.7389928377. The cubic root of 2136541600 is about 1287.9641786265.

Adding to 2136541600 its reverse (61456312), we get a palindrome (2197997912).

The spelling of 2136541600 in words is "two billion, one hundred thirty-six million, five hundred forty-one thousand, six hundred".