2509432728 has 64 divisors (see below), whose sum is σ = 6849083520. Its totient is φ = 759859200.

The previous prime is 2509432721. The next prime is 2509432753. The reversal of 2509432728 is 8272349052.

2509432728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2509432728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509432721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458488 + ... + 463928.

It is an arithmetic number, because the mean of its divisors is an integer number (107016930).

Almost surely, 2^2509432728 is an apocalyptic number.

It is an amenable number.

2509432728 is an abundant number, since it is smaller than the sum of its proper divisors (4339650792).

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

2509432728 is a wasteful number, since it uses less digits than its factorization.

2509432728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2509432728 is about 50094.2384711056. The cubic root of 2509432728 is about 1358.9136234878.

The spelling of 2509432728 in words is "two billion, five hundred nine million, four hundred thirty-two thousand, seven hundred twenty-eight".