2124144440 has 128 divisors (see below), whose sum is σ = 5484024000. Its totient is φ = 733286400.

The previous prime is 2124144431. The next prime is 2124144497. The reversal of 2124144440 is 444414212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776996 + ... + 779724.

Almost surely, 2^2124144440 is an apocalyptic number.

2124144440 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 2124144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742012000).

2124144440 is an abundant number, since it is smaller than the sum of its proper divisors (3359879560).

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

2124144440 is a wasteful number, since it uses less digits than its factorization.

2124144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 2124144440 is about 46088.4415010966. The cubic root of 2124144440 is about 1285.4682321150.

Adding to 2124144440 its reverse (444414212), we get a palindrome (2568558652).

The spelling of 2124144440 in words is "two billion, one hundred twenty-four million, one hundred forty-four thousand, four hundred forty".