2959348480 has 144 divisors (see below), whose sum is σ = 7813296288. Its totient is φ = 1064960000.

The previous prime is 2959348463. The next prime is 2959348481. The reversal of 2959348480 is 848439592.

It is not an unprimeable number, because it can be changed into a prime (2959348481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421040 + ... + 1423120.

It is an arithmetic number, because the mean of its divisors is an integer number (54259002).

Almost surely, 2^2959348480 is an apocalyptic number.

2959348480 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 2959348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906648144).

2959348480 is an abundant number, since it is smaller than the sum of its proper divisors (4853947808).

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

2959348480 is a wasteful number, since it uses less digits than its factorization.

2959348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The square root of 2959348480 is about 54399.8941175440. The cubic root of 2959348480 is about 1435.7055181456.

The spelling of 2959348480 in words is "two billion, nine hundred fifty-nine million, three hundred forty-eight thousand, four hundred eighty".