2172319380504 has 224 divisors, whose sum is σ = 7516130620320. Its totient is φ = 572919257088.

The previous prime is 2172319380499. The next prime is 2172319380547. The reversal of 2172319380504 is 4050839132712.

It is a happy number.

2172319380504 is a `hidden beast` number, since 21 + 7 + 2 + 31 + 93 + 8 + 0 + 504 = 666.

It is a super-3 number, since 3×2172319380504³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2172319380504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515897 + ... + 2577320.

It is an arithmetic number, because the mean of its divisors is an integer number (33554154555).

Almost surely, 2^{2172319380504} is an apocalyptic number.

2172319380504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2172319380504 is an abundant number, since it is smaller than the sum of its proper divisors (5343811239816).

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

2172319380504 is a wasteful number, since it uses less digits than its factorization.

2172319380504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093261 (or 4093242 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2172319380504 in words is "two trillion, one hundred seventy-two billion, three hundred nineteen million, three hundred eighty thousand, five hundred four".