2180330553856 has 240 divisors, whose sum is σ = 5418577296000. Its totient is φ = 858166493184.

The previous prime is 2180330553847. The next prime is 2180330553923. The reversal of 2180330553856 is 6583550330812.

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 23 ways as a sum of consecutive naturals, for example, 120524460 + ... + 120542548.

It is an arithmetic number, because the mean of its divisors is an integer number (22577405400).

Almost surely, 2^{2180330553856} is an apocalyptic number.

2180330553856 is a gapful number since it is divisible by the number (26) 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 2180330553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709288648000).

2180330553856 is an abundant number, since it is smaller than the sum of its proper divisors (3238246742144).

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

2180330553856 is a wasteful number, since it uses less digits than its factorization.

2180330553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18339 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 2180330553856 in words is "two trillion, one hundred eighty billion, three hundred thirty million, five hundred fifty-three thousand, eight hundred fifty-six".