2173402368000 has 960 divisors, whose sum is σ = 8152383198960. Its totient is φ = 575963136000.

The previous prime is 2173402367993. The next prime is 2173402368139. The reversal of 2173402368000 is 8632043712.

It is a happy number.

2173402368000 is a `hidden beast` number, since 2 + 1 + 7 + 340 + 236 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 179477627904 + 1993924740096 = 423648^2 + 1412064^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×2173402368000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5826815814 + ... + 5826816186.

Almost surely, 2^{2173402368000} is an apocalyptic number.

2173402368000 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 2173402368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076191599480).

2173402368000 is an abundant number, since it is smaller than the sum of its proper divisors (5978980830960).

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

2173402368000 is an equidigital number, since it uses as much as digits as its factorization.

2173402368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2173402368000 in words is "two trillion, one hundred seventy-three billion, four hundred two million, three hundred sixty-eight thousand".