2106948360 has 128 divisors (see below), whose sum is σ = 6978908160. Its totient is φ = 504595200.

The previous prime is 2106948341. The next prime is 2106948391. The reversal of 2106948360 is 638496012.

2106948360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99945 + ... + 119175.

It is an arithmetic number, because the mean of its divisors is an integer number (54522720).

Almost surely, 2^2106948360 is an apocalyptic number.

2106948360 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 2106948360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489454080).

2106948360 is an abundant number, since it is smaller than the sum of its proper divisors (4871959800).

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

2106948360 is a wasteful number, since it uses less digits than its factorization.

2106948360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19339 (or 19335 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2106948360 is about 45901.5071647980. The cubic root of 2106948360 is about 1281.9899791776.

The spelling of 2106948360 in words is "two billion, one hundred six million, nine hundred forty-eight thousand, three hundred sixty".