2124134040 has 128 divisors (see below), whose sum is σ = 7351119360. Its totient is φ = 480958464.

The previous prime is 2124134039. The next prime is 2124134057. The reversal of 2124134040 is 404314212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2124133998 and 2124134016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78064 + ... + 101696.

It is an arithmetic number, because the mean of its divisors is an integer number (57430620).

Almost surely, 2^2124134040 is an apocalyptic number.

2124134040 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 2124134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675559680).

2124134040 is an abundant number, since it is smaller than the sum of its proper divisors (5226985320).

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

2124134040 is a wasteful number, since it uses less digits than its factorization.

2124134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23761 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2124134040 is about 46088.3286744052. The cubic root of 2124134040 is about 1285.4661341893.

Adding to 2124134040 its reverse (404314212), we get a palindrome (2528448252).

The spelling of 2124134040 in words is "two billion, one hundred twenty-four million, one hundred thirty-four thousand, forty".