2124424040 has 64 divisors (see below), whose sum is σ = 5068008000. Its totient is φ = 798696448.

The previous prime is 2124423947. The next prime is 2124424051. The reversal of 2124424040 is 404244212.

It is a junction number, because it is equal to n+sod(n) for n = 2124423997 and 2124424015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642311 + ... + 645609.

It is an arithmetic number, because the mean of its divisors is an integer number (79187625).

Almost surely, 2^2124424040 is an apocalyptic number.

2124424040 is a gapful number since it is divisible by the number (20) 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 2124424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534004000).

2124424040 is an abundant number, since it is smaller than the sum of its proper divisors (2943583960).

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

2124424040 is a wasteful number, since it uses less digits than its factorization.

2124424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2124424040 is about 46091.4746997750. The cubic root of 2124424040 is about 1285.5246314731.

Adding to 2124424040 its reverse (404244212), we get a palindrome (2528668252).

The spelling of 2124424040 in words is "two billion, one hundred twenty-four million, four hundred twenty-four thousand, forty".