2126216736 has 192 divisors, whose sum is σ = 7460812800. Its totient is φ = 575486208.

The previous prime is 2126216699. The next prime is 2126216753. The reversal of 2126216736 is 6376126212.

2126216736 is a `hidden beast` number, since 21 + 2 + 621 + 6 + 7 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2126216736.

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 31 ways as a sum of consecutive naturals, for example, 105661 + ... + 124163.

It is an arithmetic number, because the mean of its divisors is an integer number (38858400).

Almost surely, 2^2126216736 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 2126216736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730406400).

2126216736 is an abundant number, since it is smaller than the sum of its proper divisors (5334596064).

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

2126216736 is a wasteful number, since it uses less digits than its factorization.

2126216736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18548 (or 18534 counting only the distinct ones).

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

The square root of 2126216736 is about 46110.9177527405. The cubic root of 2126216736 is about 1285.8861266190.

The spelling of 2126216736 in words is "two billion, one hundred twenty-six million, two hundred sixteen thousand, seven hundred thirty-six".