2106480000 has 320 divisors, whose sum is σ = 7150461120. Its totient is φ = 549120000.

The previous prime is 2106479993. The next prime is 2106480023. The reversal of 2106480000 is 846012.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16079935 + ... + 16080065.

It is an arithmetic number, because the mean of its divisors is an integer number (22345191).

Almost surely, 2^2106480000 is an apocalyptic number.

2106480000 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 2106480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575230560).

2106480000 is an abundant number, since it is smaller than the sum of its proper divisors (5043981120).

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

2106480000 is an equidigital number, since it uses as much as digits as its factorization.

2106480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2106480000 is about 45896.4050879805. The cubic root of 2106480000 is about 1281.8949796459.

The spelling of 2106480000 in words is "two billion, one hundred six million, four hundred eighty thousand".