2947648000 has 320 divisors, whose sum is σ = 8273041920. Its totient is φ = 1038336000.

The previous prime is 2947647991. The next prime is 2947648001. The reversal of 2947648000 is 8467492.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2947648001) 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 31 ways as a sum of consecutive naturals, for example, 37311961 + ... + 37312039.

It is an arithmetic number, because the mean of its divisors is an integer number (25853256).

Almost surely, 2^2947648000 is an apocalyptic number.

2947648000 is a gapful number since it is divisible by the number (20) 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 2947648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136520960).

2947648000 is an abundant number, since it is smaller than the sum of its proper divisors (5325393920).

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

2947648000 is an equidigital number, since it uses as much as digits as its factorization.

2947648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2947648000 is about 54292.2462235631. The cubic root of 2947648000 is about 1433.8108858825.

The spelling of 2947648000 in words is "two billion, nine hundred forty-seven million, six hundred forty-eight thousand".