2471730128 has 120 divisors (see below), whose sum is σ = 5748998112. Its totient is φ = 1025885952.

The previous prime is 2471730073. The next prime is 2471730137. The reversal of 2471730128 is 8210371742.

2471730128 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-2 number, since 2×2471730128² = 12218899651325792768, which contains 22 as substring.

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, 5292551 + ... + 5293017.

Almost surely, 2^2471730128 is an apocalyptic number.

2471730128 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 2471730128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874499056).

2471730128 is an abundant number, since it is smaller than the sum of its proper divisors (3277267984).

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

2471730128 is a wasteful number, since it uses less digits than its factorization.

2471730128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 2471730128 is about 49716.4975435720. The cubic root of 2471730128 is about 1352.0736541226.

It can be divided in two parts, 24717 and 30128, that added together give a palindrome (54845).

The spelling of 2471730128 in words is "two billion, four hundred seventy-one million, seven hundred thirty thousand, one hundred twenty-eight".