2180785401600 has 432 divisors, whose sum is σ = 7758985164000. Its totient is φ = 536232591360.

The previous prime is 2180785401581. The next prime is 2180785401631. The reversal of 2180785401600 is 61045870812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261826236 + ... + 261834564.

Almost surely, 2^{2180785401600} is an apocalyptic number.

2180785401600 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 2180785401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879492582000).

2180785401600 is an abundant number, since it is smaller than the sum of its proper divisors (5578199762400).

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

2180785401600 is a wasteful number, since it uses less digits than its factorization.

2180785401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 2180785401600 in words is "two trillion, one hundred eighty billion, seven hundred eighty-five million, four hundred one thousand, six hundred".