2988960 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 734208.

The previous prime is 2988949. The next prime is 2988961. The reversal of 2988960 is 698892.

2988960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2988961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6001 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

2^2988960 is an apocalyptic number.

2988960 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 2988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

2988960 is an abundant number, since it is smaller than the sum of its proper divisors (7171680).

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

2988960 is a wasteful number, since it uses less digits than its factorization.

2988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2988960 is about 1728.8608966600. The cubic root of 2988960 is about 144.0478236218.

The spelling of 2988960 in words is "two million, nine hundred eighty-eight thousand, nine hundred sixty".