2533712832 has 448 divisors, whose sum is σ = 9129369600. Its totient is φ = 673505280.

The previous prime is 2533712791. The next prime is 2533712849. The reversal of 2533712832 is 2382173352.

2533712832 is a `hidden beast` number, since 2 + 5 + 3 + 371 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 10874188 + ... + 10874420.

Almost surely, 2^2533712832 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 2533712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564684800).

2533712832 is an abundant number, since it is smaller than the sum of its proper divisors (6595656768).

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

2533712832 is a wasteful number, since it uses less digits than its factorization.

2533712832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2533712832 is about 50335.9993642721. Note that the first 3 decimals coincide. The cubic root of 2533712832 is about 1363.2823026088.

The spelling of 2533712832 in words is "two billion, five hundred thirty-three million, seven hundred twelve thousand, eight hundred thirty-two".