2947352832 has 252 divisors, whose sum is σ = 9349675020. Its totient is φ = 923664384.

The previous prime is 2947352809. The next prime is 2947352879. The reversal of 2947352832 is 2382537492.

2947352832 is a `hidden beast` number, since 2 + 94 + 7 + 3 + 528 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 1979894016 = 31104^2 + 44496^2 .

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 3172144 + ... + 3173072.

It is an arithmetic number, because the mean of its divisors is an integer number (37101885).

Almost surely, 2^2947352832 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 2947352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674837510).

2947352832 is an abundant number, since it is smaller than the sum of its proper divisors (6402322188).

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

2947352832 is an frugal number, since it uses more digits than its factorization.

2947352832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 951 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2947352832 is about 54289.5278299600. The cubic root of 2947352832 is about 1433.7630252132.

The spelling of 2947352832 in words is "two billion, nine hundred forty-seven million, three hundred fifty-two thousand, eight hundred thirty-two".