2400095328 has 48 divisors (see below), whose sum is σ = 6346272240. Its totient is φ = 794187776.

The previous prime is 2400095281. The next prime is 2400095329. The reversal of 2400095328 is 8235900042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400095329) 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 7 ways as a sum of consecutive naturals, for example, 78093 + ... + 104396.

It is an arithmetic number, because the mean of its divisors is an integer number (132214005).

Almost surely, 2^2400095328 is an apocalyptic number.

It is an amenable number.

2400095328 is an abundant number, since it is smaller than the sum of its proper divisors (3946176912).

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

2400095328 is a wasteful number, since it uses less digits than its factorization.

2400095328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182639 (or 182631 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2400095328 is about 48990.7677833283. The cubic root of 2400095328 is about 1338.8836265142.

The spelling of 2400095328 in words is "two billion, four hundred million, ninety-five thousand, three hundred twenty-eight".