2166480000 has 640 divisors, whose sum is σ = 8603496000. Its totient is φ = 534528000.

The previous prime is 2166479999. The next prime is 2166480007. The reversal of 2166480000 is 846612.

2166480000 is a `hidden beast` number, since 2 + 16 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2166480007) 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, 36719971 + ... + 36720029.

Almost surely, 2^2166480000 is an apocalyptic number.

2166480000 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 2166480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301748000).

2166480000 is an abundant number, since it is smaller than the sum of its proper divisors (6437016000).

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

2166480000 is an equidigital number, since it uses as much as digits as its factorization.

2166480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2166480000 is about 46545.4616477267. The cubic root of 2166480000 is about 1293.9521843225.

The spelling of 2166480000 in words is "two billion, one hundred sixty-six million, four hundred eighty thousand".