2136511440 has 240 divisors, whose sum is σ = 8313896448. Its totient is φ = 481572864.

The previous prime is 2136511439. The next prime is 2136511463. The reversal of 2136511440 is 441156312.

It is a happy number.

2136511440 is a `hidden beast` number, since 2 + 1 + 3 + 651 + 1 + 4 + 4 + 0 = 666.

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

It is a super-2 number, since 2×2136511440² = 9129362266501747200, which contains 22 as substring.

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, 365017 + ... + 370823.

Almost surely, 2^2136511440 is an apocalyptic number.

2136511440 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 2136511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156948224).

2136511440 is an abundant number, since it is smaller than the sum of its proper divisors (6177385008).

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

2136511440 is a wasteful number, since it uses less digits than its factorization.

2136511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2136511440 is about 46222.4127453338. The cubic root of 2136511440 is about 1287.9581181809.

Adding to 2136511440 its reverse (441156312), we get a palindrome (2577667752).

The spelling of 2136511440 in words is "two billion, one hundred thirty-six million, five hundred eleven thousand, four hundred forty".