2124216704 has 64 divisors (see below), whose sum is σ = 4435776000. Its totient is φ = 1011343872.

The previous prime is 2124216697. The next prime is 2124216713. The reversal of 2124216704 is 4076124212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702107 + ... + 705125.

It is an arithmetic number, because the mean of its divisors is an integer number (69309000).

Almost surely, 2^2124216704 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 2124216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217888000).

2124216704 is an abundant number, since it is smaller than the sum of its proper divisors (2311559296).

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

2124216704 is a wasteful number, since it uses less digits than its factorization.

2124216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2124216704 is about 46089.2254653948. The cubic root of 2124216704 is about 1285.4828092817.

The spelling of 2124216704 in words is "two billion, one hundred twenty-four million, two hundred sixteen thousand, seven hundred four".