2984960 has 88 divisors (see below), whose sum is σ = 7958736. Its totient is φ = 1064960.

The previous prime is 2984953. The next prime is 2984977. The reversal of 2984960 is 694892.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56294 + ... + 56346.

2^2984960 is an apocalyptic number.

2984960 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 2984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979368).

2984960 is an abundant number, since it is smaller than the sum of its proper divisors (4973776).

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

2984960 is a wasteful number, since it uses less digits than its factorization.

2984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2984960 is about 1727.7036782967. The cubic root of 2984960 is about 143.9835372126.

The spelling of 2984960 in words is "two million, nine hundred eighty-four thousand, nine hundred sixty".