2559984 has 80 divisors (see below), whose sum is σ = 7975680. Its totient is φ = 691200.

The previous prime is 2559983. The next prime is 2559989. The reversal of 2559984 is 4899552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁶ + 5² + 5⁸ + 9² + 9⁴ + 8⁷ + 4 .

Its product of digits (129600) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559983) 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, 6184 + ... + 6584.

It is an arithmetic number, because the mean of its divisors is an integer number (99696).

2^2559984 is an apocalyptic number.

2559984 is a gapful number since it is divisible by the number (24) 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 2559984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987840).

2559984 is an abundant number, since it is smaller than the sum of its proper divisors (5415696).

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

2559984 is a wasteful number, since it uses less digits than its factorization.

2559984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 2559984 is about 1599.9949999922. The cubic root of 2559984 is about 136.7977907376.

The spelling of 2559984 in words is "two million, five hundred fifty-nine thousand, nine hundred eighty-four".