2168504400480 has 192 divisors, whose sum is σ = 7653169536768. Its totient is φ = 511489935360.

The previous prime is 2168504400463. The next prime is 2168504400481. The reversal of 2168504400480 is 840044058612.

It is a super-2 number, since 2×2168504400480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168504400481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5354662 + ... + 5745381.

It is an arithmetic number, because the mean of its divisors is an integer number (39860258004).

Almost surely, 2^{2168504400480} is an apocalyptic number.

2168504400480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168504400480 is an abundant number, since it is smaller than the sum of its proper divisors (5484665136288).

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

2168504400480 is a wasteful number, since it uses less digits than its factorization.

2168504400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100109 (or 11100101 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 2168504400480 in words is "two trillion, one hundred sixty-eight billion, five hundred four million, four hundred thousand, four hundred eighty".