2166354720 has 384 divisors, whose sum is σ = 7915138560. Its totient is φ = 559872000.

The previous prime is 2166354719. The next prime is 2166354721. The reversal of 2166354720 is 274536612.

2166354720 is a `hidden beast` number, since 2 + 16 + 635 + 4 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2166354719) and next prime (2166354721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2166354721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14346645 + ... + 14346795.

It is an arithmetic number, because the mean of its divisors is an integer number (20612340).

Almost surely, 2^2166354720 is an apocalyptic number.

2166354720 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 2166354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957569280).

2166354720 is an abundant number, since it is smaller than the sum of its proper divisors (5748783840).

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

2166354720 is an equidigital number, since it uses as much as digits as its factorization.

2166354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2166354720 is about 46544.1158472261. The cubic root of 2166354720 is about 1293.9272422575.

The spelling of 2166354720 in words is "two billion, one hundred sixty-six million, three hundred fifty-four thousand, seven hundred twenty".