2032645824 has 168 divisors, whose sum is σ = 6476859792. Its totient is φ = 604231680.

The previous prime is 2032645793. The next prime is 2032645837. The reversal of 2032645824 is 4285462302.

2032645824 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 645 + 8 + 2 + 4 = 666.

2032645824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332782 + ... + 338834.

Almost surely, 2^2032645824 is an apocalyptic number.

2032645824 is a gapful number since it is divisible by the number (24) 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 2032645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238429896).

2032645824 is an abundant number, since it is smaller than the sum of its proper divisors (4444213968).

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

2032645824 is a wasteful number, since it uses less digits than its factorization.

2032645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2032645824 is about 45084.8735608741. The cubic root of 2032645824 is about 1266.7392790630.

The spelling of 2032645824 in words is "two billion, thirty-two million, six hundred forty-five thousand, eight hundred twenty-four".