2112624 has 60 divisors (see below), whose sum is σ = 6267456. Its totient is φ = 662016.

The previous prime is 2112601. The next prime is 2112631. The reversal of 2112624 is 4262112.

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 = 2112597 and 2112606.

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, 2017 + ... + 2879.

2^2112624 is an apocalyptic number.

2112624 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 2112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728).

2112624 is an abundant number, since it is smaller than the sum of its proper divisors (4154832).

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

2112624 is a wasteful number, since it uses less digits than its factorization.

2112624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

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

The square root of 2112624 is about 1453.4868420457. The cubic root of 2112624 is about 128.3140076969.

Adding to 2112624 its reverse (4262112), we get a palindrome (6374736).

The spelling of 2112624 in words is "two million, one hundred twelve thousand, six hundred twenty-four".