2447011728 has 160 divisors (see below), whose sum is σ = 8129638400. Its totient is φ = 690228864.

The previous prime is 2447011717. The next prime is 2447011747. The reversal of 2447011728 is 8271107442.

2447011728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2447011692 and 2447011701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233775 + ... + 244017.

It is an arithmetic number, because the mean of its divisors is an integer number (50810240).

Almost surely, 2^2447011728 is an apocalyptic number.

2447011728 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 2447011728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064819200).

2447011728 is an abundant number, since it is smaller than the sum of its proper divisors (5682626672).

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

2447011728 is a wasteful number, since it uses less digits than its factorization.

2447011728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2447011728 is about 49467.2793672747. The cubic root of 2447011728 is about 1347.5514331941.

The spelling of 2447011728 in words is "two billion, four hundred forty-seven million, eleven thousand, seven hundred twenty-eight".