2121624 has 48 divisors (see below), whose sum is σ = 5834400. Its totient is φ = 696384.

The previous prime is 2121619. The next prime is 2121631. The reversal of 2121624 is 4261212.

2121624 is a `hidden beast` number, since 21 + 21 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 2121597 and 2121606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5502 + ... + 5874.

It is an arithmetic number, because the mean of its divisors is an integer number (121550).

2^2121624 is an apocalyptic number.

2121624 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 2121624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917200).

2121624 is an abundant number, since it is smaller than the sum of its proper divisors (3712776).

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

2121624 is a wasteful number, since it uses less digits than its factorization.

2121624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2121624 is about 1456.5795549849. The cubic root of 2121624 is about 128.4959599430.

Adding to 2121624 its reverse (4261212), we get a palindrome (6382836).

The spelling of 2121624 in words is "two million, one hundred twenty-one thousand, six hundred twenty-four".