2171917840512 has 512 divisors, whose sum is σ = 6934939200000. Its totient is φ = 601574916096.

The previous prime is 2171917840493. The next prime is 2171917840523. The reversal of 2171917840512 is 2150487191712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1700796418 + ... + 1700797694.

It is an arithmetic number, because the mean of its divisors is an integer number (13544803125).

Almost surely, 2^{2171917840512} 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 2171917840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467469600000).

2171917840512 is an abundant number, since it is smaller than the sum of its proper divisors (4763021359488).

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

2171917840512 is a wasteful number, since it uses less digits than its factorization.

2171917840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 2171917840512 in words is "two trillion, one hundred seventy-one billion, nine hundred seventeen million, eight hundred forty thousand, five hundred twelve".