2124638368 has 96 divisors (see below), whose sum is σ = 4667544000. Its totient is φ = 947681280.

The previous prime is 2124638353. The next prime is 2124638423. The reversal of 2124638368 is 8638364212.

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, 721443 + ... + 724381.

It is an arithmetic number, because the mean of its divisors is an integer number (48620250).

Almost surely, 2^2124638368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333772000).

2124638368 is an abundant number, since it is smaller than the sum of its proper divisors (2542905632).

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

2124638368 is a wasteful number, since it uses less digits than its factorization.

2124638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3030 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 2124638368 is about 46093.7996698037. The cubic root of 2124638368 is about 1285.5678611756.

The spelling of 2124638368 in words is "two billion, one hundred twenty-four million, six hundred thirty-eight thousand, three hundred sixty-eight".