2166325920 has 216 divisors, whose sum is σ = 8126389908. Its totient is φ = 525127680.

The previous prime is 2166325919. The next prime is 2166325921. The reversal of 2166325920 is 295236612.

2166325920 is a `hidden beast` number, since 2 + 1 + 6 + 63 + 2 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2166325919) and next prime (2166325921).

It can be written as a sum of positive squares in 2 ways, for example, as 2002383504 + 163942416 = 44748^2 + 12804^2 .

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 (2166325921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168024 + ... + 180456.

Almost surely, 2^2166325920 is an apocalyptic number.

2166325920 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 2166325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063194954).

2166325920 is an abundant number, since it is smaller than the sum of its proper divisors (5960063988).

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

2166325920 is a wasteful number, since it uses less digits than its factorization.

2166325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2166325920 is about 46543.8064622996. The cubic root of 2166325920 is about 1293.9215083136.

The spelling of 2166325920 in words is "two billion, one hundred sixty-six million, three hundred twenty-five thousand, nine hundred twenty".