2124615214304 has 144 divisors (see below), whose sum is σ = 4648970978064. Its totient is φ = 954974085120.

The previous prime is 2124615214297. The next prime is 2124615214339. The reversal of 2124615214304 is 4034125164212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861212879 + ... + 861215345.

It is an arithmetic number, because the mean of its divisors is an integer number (32284520681).

Almost surely, 2^{2124615214304} 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 2124615214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324485489032).

2124615214304 is an abundant number, since it is smaller than the sum of its proper divisors (2524355763760).

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

2124615214304 is a wasteful number, since it uses less digits than its factorization.

2124615214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 2124615214304 in words is "two trillion, one hundred twenty-four billion, six hundred fifteen million, two hundred fourteen thousand, three hundred four".