2124134304 has 96 divisors (see below), whose sum is σ = 5668992000. Its totient is φ = 696294144.

The previous prime is 2124134267. The next prime is 2124134321. The reversal of 2124134304 is 4034314212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 2873967 + ... + 2874705.

It is an arithmetic number, because the mean of its divisors is an integer number (59052000).

Almost surely, 2^2124134304 is an apocalyptic number.

2124134304 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 2124134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834496000).

2124134304 is an abundant number, since it is smaller than the sum of its proper divisors (3544857696).

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

2124134304 is a wasteful number, since it uses less digits than its factorization.

2124134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2124134304 is about 46088.3315384708. The cubic root of 2124134304 is about 1285.4661874444.

Adding to 2124134304 its reverse (4034314212), we get a palindrome (6158448516).

The spelling of 2124134304 in words is "two billion, one hundred twenty-four million, one hundred thirty-four thousand, three hundred four".