2115584 has 24 divisors (see below), whose sum is σ = 4234230. Its totient is φ = 1056768.

The previous prime is 2115571. The next prime is 2115629. The reversal of 2115584 is 4855112.

It can be written as a sum of positive squares in only one way, i.e., 1254400 + 861184 = 1120^2 + 928^2 .

It is a super-2 number, since 2×2115584² = 8951391322112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1532 + ... + 2564.

2^2115584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117115).

2115584 is an abundant number, since it is smaller than the sum of its proper divisors (2118646).

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

2115584 is an equidigital number, since it uses as much as digits as its factorization.

2115584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 2115584 is about 1454.5047267025. The cubic root of 2115584 is about 128.3739067004.

The spelling of 2115584 in words is "two million, one hundred fifteen thousand, five hundred eighty-four".