2175402468000 has 288 divisors, whose sum is σ = 7449965070912. Its totient is φ = 554883648000.

The previous prime is 2175402467981. The next prime is 2175402468013. The reversal of 2175402468000 is 8642045712.

It is a self number, because there is not a number n which added to its sum of digits gives 2175402468000.

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 47 ways as a sum of consecutive naturals, for example, 6176655 + ... + 6519345.

It is an arithmetic number, because the mean of its divisors is an integer number (25867934274).

Almost surely, 2^{2175402468000} is an apocalyptic number.

2175402468000 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 2175402468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724982535456).

2175402468000 is an abundant number, since it is smaller than the sum of its proper divisors (5274562602912).

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

2175402468000 is a wasteful number, since it uses less digits than its factorization.

2175402468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342765 (or 342724 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 2175402468000 in words is "two trillion, one hundred seventy-five billion, four hundred two million, four hundred sixty-eight thousand".