2884960 has 96 divisors (see below), whose sum is σ = 7832160. Its totient is φ = 995328.

The previous prime is 2884957. The next prime is 2884961. The reversal of 2884960 is 694882.

2884960 = T₄₀ + T₄₁ + ... + T₂₅₈.

2884960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39484 + ... + 39556.

It is an arithmetic number, because the mean of its divisors is an integer number (81585).

2^2884960 is an apocalyptic number.

2884960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2884960 is the 1387-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916080).

2884960 is an abundant number, since it is smaller than the sum of its proper divisors (4947200).

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

2884960 is a wasteful number, since it uses less digits than its factorization.

2884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2884960 is about 1698.5170002093. The cubic root of 2884960 is about 142.3573621451.

It can be divided in two parts, 2884 and 960, that added together give a square (3844 = 62²).

The spelling of 2884960 in words is "two million, eight hundred eighty-four thousand, nine hundred sixty".