2180636640000 has 2700 divisors, whose sum is σ = 10238254972176. Its totient is φ = 449390592000.

The previous prime is 2180636639999. The next prime is 2180636640011. The reversal of 2180636640000 is 466360812.

2180636640000 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 6 + 3 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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 (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 50712479979 + ... + 50712480021.

Almost surely, 2^{2180636640000} is an apocalyptic number.

2180636640000 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 2180636640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119127486088).

2180636640000 is an abundant number, since it is smaller than the sum of its proper divisors (8057618332176).

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

2180636640000 is an frugal number, since it uses more digits than its factorization.

2180636640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2180636640000 in words is "two trillion, one hundred eighty billion, six hundred thirty-six million, six hundred forty thousand".