2948710320 has 240 divisors, whose sum is σ = 10468972800. Its totient is φ = 741726720.

The previous prime is 2948710307. The next prime is 2948710327. The reversal of 2948710320 is 230178492.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2948710327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005275 + ... + 6005765.

It is an arithmetic number, because the mean of its divisors is an integer number (43620720).

Almost surely, 2^2948710320 is an apocalyptic number.

2948710320 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 2948710320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234486400).

2948710320 is an abundant number, since it is smaller than the sum of its proper divisors (7520262480).

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

2948710320 is a wasteful number, since it uses less digits than its factorization.

2948710320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2948710320 is about 54302.0286913850. The cubic root of 2948710320 is about 1433.9831116747.

The spelling of 2948710320 in words is "two billion, nine hundred forty-eight million, seven hundred ten thousand, three hundred twenty".