2171612555840 has 224 divisors, whose sum is σ = 6366041095680. Its totient is φ = 687112667136.

The previous prime is 2171612555797. The next prime is 2171612555887. The reversal of 2171612555840 is 485552161712.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×2171612555840³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184294589 + ... + 184306371.

It is an arithmetic number, because the mean of its divisors is an integer number (28419826320).

Almost surely, 2^{2171612555840} is an apocalyptic number.

2171612555840 is a gapful number since it is divisible by the number (20) 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 2171612555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183020547840).

2171612555840 is an abundant number, since it is smaller than the sum of its proper divisors (4194428539840).

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

2171612555840 is a wasteful number, since it uses less digits than its factorization.

2171612555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 47.

The spelling of 2171612555840 in words is "two trillion, one hundred seventy-one billion, six hundred twelve million, five hundred fifty-five thousand, eight hundred forty".