2117575304000 has 112 divisors (see below), whose sum is σ = 5647573613136. Its totient is φ = 781873920000.

The previous prime is 2117575303997. The next prime is 2117575304083. The reversal of 2117575304000 is 4035757112.

It can be written as a sum of positive squares in 8 ways, for example, as 927800474176 + 1189774829824 = 963224^2 + 1090768^2 .

It is a super-2 number, since 2×2117575304000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 10076651 + ... + 10284650.

It is an arithmetic number, because the mean of its divisors is an integer number (50424764403).

Almost surely, 2^{2117575304000} is an apocalyptic number.

2117575304000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117575304000 is an abundant number, since it is smaller than the sum of its proper divisors (3529998309136).

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

2117575304000 is a wasteful number, since it uses less digits than its factorization.

2117575304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20361341 (or 20361321 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 2117575304000 in words is "two trillion, one hundred seventeen billion, five hundred seventy-five million, three hundred four thousand".