2118624 has 48 divisors (see below), whose sum is σ = 5760720. Its totient is φ = 680960.

The previous prime is 2118601. The next prime is 2118629. The reversal of 2118624 is 4268112.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2118594 and 2118603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118629) 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, 2404 + ... + 3164.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

2^2118624 is an apocalyptic number.

2118624 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 2118624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880360).

2118624 is an abundant number, since it is smaller than the sum of its proper divisors (3642096).

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

2118624 is a wasteful number, since it uses less digits than its factorization.

2118624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2118624 is about 1455.5493808181. The cubic root of 2118624 is about 128.4353664672.

The spelling of 2118624 in words is "two million, one hundred eighteen thousand, six hundred twenty-four".