2112431424 has 112 divisors (see below), whose sum is σ = 5939796096. Its totient is φ = 660275200.

The previous prime is 2112431401. The next prime is 2112431449. The reversal of 2112431424 is 4241342112.

It is a super-2 number, since 2×2112431424² = 8924733042205335552, which contains 22 as substring.

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 = 2112431394 and 2112431403.

It is a congruent number.

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, 1014064 + ... + 1016144.

Almost surely, 2^2112431424 is an apocalyptic number.

2112431424 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 2112431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969898048).

2112431424 is an abundant number, since it is smaller than the sum of its proper divisors (3827364672).

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

2112431424 is a wasteful number, since it uses less digits than its factorization.

2112431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2414 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2112431424 is about 45961.1947625385. The cubic root of 2112431424 is about 1283.1010876219.

Adding to 2112431424 its reverse (4241342112), we get a palindrome (6353773536).

The spelling of 2112431424 in words is "two billion, one hundred twelve million, four hundred thirty-one thousand, four hundred twenty-four".