2113584 has 40 divisors (see below), whose sum is σ = 5957952. Its totient is φ = 640320.

The previous prime is 2113583. The next prime is 2113603. The reversal of 2113584 is 4853112.

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

It is a d-powerful number, because it can be written as 2⁵ + 1 + 1 + 3² + 5 + 8⁷ + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (2113583) 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, 1474 + ... + 2529.

2^2113584 is an apocalyptic number.

2113584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2113584 is an abundant number, since it is smaller than the sum of its proper divisors (3844368).

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

2113584 is a wasteful number, since it uses less digits than its factorization.

2113584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4019 counting only the distinct ones).

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

The square root of 2113584 is about 1453.8170448856. The cubic root of 2113584 is about 128.3334405276. Note that the first 3 decimals are identical.

Adding to 2113584 its reverse (4853112), we get a palindrome (6966696).

The spelling of 2113584 in words is "two million, one hundred thirteen thousand, five hundred eighty-four".