2161782604800 has 1056 divisors, whose sum is σ = 9770956563200. Its totient is φ = 456099102720.

The previous prime is 2161782604799. The next prime is 2161782604801. The reversal of 2161782604800 is 84062871612.

2161782604800 is a `hidden beast` number, since 2 + 1 + 617 + 8 + 26 + 0 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2161782604799) and next prime (2161782604801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2161782604801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62882016 + ... + 62916384.

Almost surely, 2^{2161782604800} is an apocalyptic number.

2161782604800 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 2161782604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885478281600).

2161782604800 is an abundant number, since it is smaller than the sum of its proper divisors (7609173958400).

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

2161782604800 is a wasteful number, since it uses less digits than its factorization.

2161782604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34428 (or 34399 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2161782604800 in words is "two trillion, one hundred sixty-one billion, seven hundred eighty-two million, six hundred four thousand, eight hundred".