2487728824 has 96 divisors (see below), whose sum is σ = 5742316800. Its totient is φ = 1004633280.

The previous prime is 2487728819. The next prime is 2487728839. The reversal of 2487728824 is 4288277842.

2487728824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2487728824³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570737 + ... + 1572319.

It is an arithmetic number, because the mean of its divisors is an integer number (59815800).

Almost surely, 2^2487728824 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 2487728824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871158400).

2487728824 is an abundant number, since it is smaller than the sum of its proper divisors (3254587976).

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

2487728824 is a wasteful number, since it uses less digits than its factorization.

2487728824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1822 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 52.

The square root of 2487728824 is about 49877.1372875389. The cubic root of 2487728824 is about 1354.9845586763.

The spelling of 2487728824 in words is "two billion, four hundred eighty-seven million, seven hundred twenty-eight thousand, eight hundred twenty-four".