2162223984384 has 576 divisors, whose sum is σ = 6857446668800. Its totient is φ = 678430494720.

The previous prime is 2162223984359. The next prime is 2162223984433. The reversal of 2162223984384 is 4834893222612.

2162223984384 is a `hidden beast` number, since 2 + 1 + 6 + 22 + 239 + 8 + 4 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2162223984384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1925399247 + ... + 1925400369.

Almost surely, 2^{2162223984384} is an apocalyptic number.

2162223984384 is a gapful number since it is divisible by the number (24) 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 2162223984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428723334400).

2162223984384 is an abundant number, since it is smaller than the sum of its proper divisors (4695222684416).

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

2162223984384 is an equidigital number, since it uses as much as digits as its factorization.

2162223984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1328 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 2162223984384 in words is "two trillion, one hundred sixty-two billion, two hundred twenty-three million, nine hundred eighty-four thousand, three hundred eighty-four".