2472287328 has 144 divisors (see below), whose sum is σ = 8057780640. Its totient is φ = 704360448.

The previous prime is 2472287317. The next prime is 2472287329. The reversal of 2472287328 is 8237822742.

2472287328 is a `hidden beast` number, since 2 + 47 + 2 + 287 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2472287328³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472287329) 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 23 ways as a sum of consecutive naturals, for example, 798808 + ... + 801896.

It is an arithmetic number, because the mean of its divisors is an integer number (55956810).

Almost surely, 2^2472287328 is an apocalyptic number.

2472287328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028890320).

2472287328 is an abundant number, since it is smaller than the sum of its proper divisors (5585493312).

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

2472287328 is a wasteful number, since it uses less digits than its factorization.

2472287328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3498 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 2472287328 is about 49722.1010014661. The cubic root of 2472287328 is about 1352.1752454234.

The spelling of 2472287328 in words is "two billion, four hundred seventy-two million, two hundred eighty-seven thousand, three hundred twenty-eight".