2124164736 has 320 divisors, whose sum is σ = 6842404800. Its totient is φ = 651939840.

The previous prime is 2124164689. The next prime is 2124164741. The reversal of 2124164736 is 6374614212.

2124164736 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 647 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2124164736.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8076541 + ... + 8076803.

It is an arithmetic number, because the mean of its divisors is an integer number (21382515).

Almost surely, 2^2124164736 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 2124164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421202400).

2124164736 is an abundant number, since it is smaller than the sum of its proper divisors (4718240064).

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

2124164736 is a wasteful number, since it uses less digits than its factorization.

2124164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2124164736 is about 46088.6616859288. The cubic root of 2124164736 is about 1285.4723262779.

Adding to 2124164736 its reverse (6374614212), we get a palindrome (8498778948).

The spelling of 2124164736 in words is "two billion, one hundred twenty-four million, one hundred sixty-four thousand, seven hundred thirty-six".