2636407116 has 144 divisors (see below), whose sum is σ = 7937040384. Its totient is φ = 749575296.

The previous prime is 2636407091. The next prime is 2636407127. The reversal of 2636407116 is 6117046362.

It is a happy number.

2636407116 is a `hidden beast` number, since 2 + 6 + 3 + 640 + 7 + 1 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1584501 + ... + 1586163.

It is an arithmetic number, because the mean of its divisors is an integer number (55118336).

Almost surely, 2^2636407116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2636407116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968520192).

2636407116 is an abundant number, since it is smaller than the sum of its proper divisors (5300633268).

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

2636407116 is a wasteful number, since it uses less digits than its factorization.

2636407116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2636407116 is about 51345.9552058388. The cubic root of 2636407116 is about 1381.4573828486.

The spelling of 2636407116 in words is "two billion, six hundred thirty-six million, four hundred seven thousand, one hundred sixteen".