2583984 has 80 divisors (see below), whose sum is σ = 7437024. Its totient is φ = 768000.

The previous prime is 2583979. The next prime is 2584007. The reversal of 2583984 is 4893852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (69120) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25534 + ... + 25634.

2^2583984 is an apocalyptic number.

2583984 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 2583984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512).

2583984 is an abundant number, since it is smaller than the sum of its proper divisors (4853040).

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

2583984 is a wasteful number, since it uses less digits than its factorization.

2583984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 2583984 is about 1607.4775270591. The cubic root of 2583984 is about 137.2239574877.

The spelling of 2583984 in words is "two million, five hundred eighty-three thousand, nine hundred eighty-four".