2532833536 has 144 divisors (see below), whose sum is σ = 5562950400. Its totient is φ = 1146322944.

The previous prime is 2532833509. The next prime is 2532833549. The reversal of 2532833536 is 6353382352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18221755 + ... + 18221893.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 2^2532833536 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 2532833536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781475200).

2532833536 is an abundant number, since it is smaller than the sum of its proper divisors (3030116864).

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

2532833536 is a wasteful number, since it uses less digits than its factorization.

2532833536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its digits is 388800, while the sum is 40.

The square root of 2532833536 is about 50327.2643405143. The cubic root of 2532833536 is about 1363.1245805292.

The spelling of 2532833536 in words is "two billion, five hundred thirty-two million, eight hundred thirty-three thousand, five hundred thirty-six".