2131584 has 128 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 552960.

The previous prime is 2131573. The next prime is 2131601. The reversal of 2131584 is 4851312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34914 + ... + 34974.

It is an arithmetic number, because the mean of its divisors is an integer number (55335).

2^2131584 is an apocalyptic number.

2131584 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 2131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2131584 is an abundant number, since it is smaller than the sum of its proper divisors (4951296).

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

2131584 is a wasteful number, since it uses less digits than its factorization.

2131584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 2131584 is about 1459.9945205377. The cubic root of 2131584 is about 128.6967216011.

Adding to 2131584 its reverse (4851312), we get a palindrome (6982896).

The spelling of 2131584 in words is "two million, one hundred thirty-one thousand, five hundred eighty-four".