2164624 has 60 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 840000.

The previous prime is 2164621. The next prime is 2164633. The reversal of 2164624 is 4264612.

It is a super-2 number, since 2×2164624² = 9371194122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2164621) 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, 8499 + ... + 8749.

2^2164624 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 2164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2164624 is an abundant number, since it is smaller than the sum of its proper divisors (3178784).

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

2164624 is a wasteful number, since it uses less digits than its factorization.

2164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2164624 is about 1471.2661214070. The cubic root of 2164624 is about 129.3582573805.

The spelling of 2164624 in words is "two million, one hundred sixty-four thousand, six hundred twenty-four".