2543624832 has 128 divisors (see below), whose sum is σ = 8057640960. Its totient is φ = 695135232.

The previous prime is 2543624821. The next prime is 2543624833. The reversal of 2543624832 is 2384263452.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2543624833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41253 + ... + 82395.

It is an arithmetic number, because the mean of its divisors is an integer number (62950320).

Almost surely, 2^2543624832 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 2543624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028820480).

2543624832 is an abundant number, since it is smaller than the sum of its proper divisors (5514016128).

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

2543624832 is a wasteful number, since it uses less digits than its factorization.

2543624832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41190 (or 41178 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 2543624832 is about 50434.3616198322. The cubic root of 2543624832 is about 1365.0577302530.

The spelling of 2543624832 in words is "two billion, five hundred forty-three million, six hundred twenty-four thousand, eight hundred thirty-two".