2542332728 has 64 divisors (see below), whose sum is σ = 5446012320. Its totient is φ = 1102233600.

The previous prime is 2542332707. The next prime is 2542332757. The reversal of 2542332728 is 8272332452.

It is a happy number.

2542332728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2542332691 and 2542332700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220648 + ... + 1222728.

Almost surely, 2^2542332728 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 2542332728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723006160).

2542332728 is an abundant number, since it is smaller than the sum of its proper divisors (2903679592).

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

2542332728 is a wasteful number, since it uses less digits than its factorization.

2542332728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2804 counting only the distinct ones).

The product of its digits is 161280, while the sum is 38.

The square root of 2542332728 is about 50421.5502340021. The cubic root of 2542332728 is about 1364.8265515991.

The spelling of 2542332728 in words is "two billion, five hundred forty-two million, three hundred thirty-two thousand, seven hundred twenty-eight".