2106168480 has 384 divisors, whose sum is σ = 8054000640. Its totient is φ = 517321728.

The previous prime is 2106168461. The next prime is 2106168481. The reversal of 2106168480 is 848616012.

2106168480 is a `hidden beast` number, since 2 + 10 + 6 + 168 + 480 = 666.

It is a super-2 number, since 2×2106168480² = 8871891332291020800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106168481) 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, 4548729 + ... + 4549191.

It is an arithmetic number, because the mean of its divisors is an integer number (20973960).

Almost surely, 2^2106168480 is an apocalyptic number.

2106168480 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 2106168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027000320).

2106168480 is an abundant number, since it is smaller than the sum of its proper divisors (5947832160).

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

2106168480 is an equidigital number, since it uses as much as digits as its factorization.

2106168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2106168480 is about 45893.0112326485. The cubic root of 2106168480 is about 1281.8317848674.

The spelling of 2106168480 in words is "two billion, one hundred six million, one hundred sixty-eight thousand, four hundred eighty".