2136711040 has 128 divisors (see below), whose sum is σ = 5358182400. Its totient is φ = 813238272.

The previous prime is 2136711037. The next prime is 2136711077. The reversal of 2136711040 is 401176312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2136710996 and 2136711014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5578689 + ... + 5579071.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 2^2136711040 is an apocalyptic number.

2136711040 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 2136711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

2136711040 is an abundant number, since it is smaller than the sum of its proper divisors (3221471360).

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

2136711040 is a wasteful number, since it uses less digits than its factorization.

2136711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2136711040 is about 46224.5718206237. The cubic root of 2136711040 is about 1287.9982253747.

Adding to 2136711040 its reverse (401176312), we get a palindrome (2537887352).

The spelling of 2136711040 in words is "two billion, one hundred thirty-six million, seven hundred eleven thousand, forty".