2171326309152 has 384 divisors, whose sum is σ = 7839453984768. Its totient is φ = 507899289600.

The previous prime is 2171326309109. The next prime is 2171326309253. The reversal of 2171326309152 is 2519036231712.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3664383 + ... + 4215489.

It is an arithmetic number, because the mean of its divisors is an integer number (20415244752).

Almost surely, 2^{2171326309152} is an apocalyptic number.

2171326309152 is a gapful number since it is divisible by the number (22) 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 2171326309152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919726992384).

2171326309152 is an abundant number, since it is smaller than the sum of its proper divisors (5668127675616).

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

2171326309152 is a wasteful number, since it uses less digits than its factorization.

2171326309152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551192 (or 551184 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 2171326309152 in words is "two trillion, one hundred seventy-one billion, three hundred twenty-six million, three hundred nine thousand, one hundred fifty-two".