2117824070304 has 96 divisors (see below), whose sum is σ = 5583759439104. Its totient is φ = 702835384320.

The previous prime is 2117824070267. The next prime is 2117824070309. The reversal of 2117824070304 is 4030704287112.

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

It is not an unprimeable number, because it can be changed into a prime (2117824070309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118285417 + ... + 118303319.

It is an arithmetic number, because the mean of its divisors is an integer number (58164160824).

Almost surely, 2^{2117824070304} is an apocalyptic number.

2117824070304 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 2117824070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791879719552).

2117824070304 is an abundant number, since it is smaller than the sum of its proper divisors (3465935368800).

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

2117824070304 is a wasteful number, since it uses less digits than its factorization.

2117824070304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23270 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 2117824070304 in words is "two trillion, one hundred seventeen billion, eight hundred twenty-four million, seventy thousand, three hundred four".