2166986016384 has 640 divisors, whose sum is σ = 6961300651200. Its totient is φ = 596762836992.

The previous prime is 2166986016367. The next prime is 2166986016389. The reversal of 2166986016384 is 4836106896612.

It is a super-3 number, since 3×2166986016384³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2166986016389) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4741763484 + ... + 4741763940.

Almost surely, 2^{2166986016384} is an apocalyptic number.

2166986016384 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 2166986016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480650325600).

2166986016384 is an abundant number, since it is smaller than the sum of its proper divisors (4794314634816).

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

2166986016384 is an equidigital number, since it uses as much as digits as its factorization.

2166986016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 2166986016384 in words is "two trillion, one hundred sixty-six billion, nine hundred eighty-six million, sixteen thousand, three hundred eighty-four".