2584960 has 64 divisors (see below), whose sum is σ = 7074720. Its totient is φ = 884736.

The previous prime is 2584957. The next prime is 2584963. The reversal of 2584960 is 694852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2584957) and next prime (2584963).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4192 + ... + 4768.

2^2584960 is an apocalyptic number.

2584960 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 2584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537360).

2584960 is an abundant number, since it is smaller than the sum of its proper divisors (4489760).

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

2584960 is an equidigital number, since it uses as much as digits as its factorization.

2584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2584960 is about 1607.7810796250. The cubic root of 2584960 is about 137.2412323268.

The spelling of 2584960 in words is "two million, five hundred eighty-four thousand, nine hundred sixty".