2124364032 has 324 divisors, whose sum is σ = 7367033856. Its totient is φ = 586414080.

The previous prime is 2124364031. The next prime is 2124364061. The reversal of 2124364032 is 2304634212.

2124364032 is a `hidden beast` number, since 2 + 12 + 4 + 3 + 640 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2124363987 and 2124364005.

It is not an unprimeable number, because it can be changed into a prime (2124364031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3499473 + ... + 3500079.

Almost surely, 2^2124364032 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 2124364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683516928).

2124364032 is an abundant number, since it is smaller than the sum of its proper divisors (5242669824).

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

2124364032 is a wasteful number, since it uses less digits than its factorization.

2124364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2124364032 is about 46090.8237288075. The cubic root of 2124364032 is about 1285.5125274099.

Adding to 2124364032 its reverse (2304634212), we get a palindrome (4428998244).

The spelling of 2124364032 in words is "two billion, one hundred twenty-four million, three hundred sixty-four thousand, thirty-two".