2136340080 has 240 divisors, whose sum is σ = 8224991424. Its totient is φ = 486789120.

The previous prime is 2136340079. The next prime is 2136340093. The reversal of 2136340080 is 800436312.

It is a happy number.

2136340080 is a `hidden beast` number, since 21 + 3 + 634 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806900 + ... + 2807660.

Almost surely, 2^2136340080 is an apocalyptic number.

2136340080 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 2136340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112495712).

2136340080 is an abundant number, since it is smaller than the sum of its proper divisors (6088651344).

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

2136340080 is a wasteful number, since it uses less digits than its factorization.

2136340080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2136340080 is about 46220.5590619586. The cubic root of 2136340080 is about 1287.9236834789.

Adding to 2136340080 its reverse (800436312), we get a palindrome (2936776392).

The spelling of 2136340080 in words is "two billion, one hundred thirty-six million, three hundred forty thousand, eighty".