2166340000 has 240 divisors, whose sum is σ = 5975212320. Its totient is φ = 766080000.

The previous prime is 2166339997. The next prime is 2166340003. The reversal of 2166340000 is 436612.

It is an interprime number because it is at equal distance from previous prime (2166339997) and next prime (2166340003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2166340003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9459886 + ... + 9460114.

It is an arithmetic number, because the mean of its divisors is an integer number (24896718).

Almost surely, 2^2166340000 is an apocalyptic number.

2166340000 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 2166340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987606160).

2166340000 is an abundant number, since it is smaller than the sum of its proper divisors (3808872320).

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

2166340000 is a wasteful number, since it uses less digits than its factorization.

2166340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2166340000 is about 46543.9577174095. The cubic root of 2166340000 is about 1293.9243115814.

Adding to 2166340000 its reverse (436612), we get a palindrome (2166776612).

The spelling of 2166340000 in words is "two billion, one hundred sixty-six million, three hundred forty thousand".