2136100861440 has 1280 divisors, whose sum is σ = 9385699276800. Its totient is φ = 448423133184.

The previous prime is 2136100861429. The next prime is 2136100861441. The reversal of 2136100861440 is 441680016312.

2136100861440 is a `hidden beast` number, since 2 + 1 + 36 + 1 + 0 + 0 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2136100861395 and 2136100861404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136100861441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1440390939 + ... + 1440392421.

It is an arithmetic number, because the mean of its divisors is an integer number (7332577560).

Almost surely, 2^{2136100861440} is an apocalyptic number.

2136100861440 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 2136100861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692849638400).

2136100861440 is an abundant number, since it is smaller than the sum of its proper divisors (7249598415360).

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

2136100861440 is a wasteful number, since it uses less digits than its factorization.

2136100861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 2136100861440 its reverse (441680016312), we get a palindrome (2577780877752).

The spelling of 2136100861440 in words is "two trillion, one hundred thirty-six billion, one hundred million, eight hundred sixty-one thousand, four hundred forty".