2152584 has 48 divisors (see below), whose sum is σ = 6664320. Its totient is φ = 614880.

The previous prime is 2152571. The next prime is 2152589. The reversal of 2152584 is 4852512.

It is a happy number.

2152584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2152589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1632 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (138840).

2^2152584 is an apocalyptic number.

2152584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2152584 is an abundant number, since it is smaller than the sum of its proper divisors (4511736).

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

2152584 is a wasteful number, since it uses less digits than its factorization.

2152584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4283 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2152584 is about 1467.1687019563. The cubic root of 2152584 is about 129.1179739229.

It can be divided in two parts, 21525 and 84, that added together give a square (21609 = 147²).

The spelling of 2152584 in words is "two million, one hundred fifty-two thousand, five hundred eighty-four".