2106175240 has 64 divisors (see below), whose sum is σ = 5175394560. Its totient is φ = 766698240.

The previous prime is 2106175229. The next prime is 2106175249. The reversal of 2106175240 is 425716012.

It is a junction number, because it is equal to n+sod(n) for n = 2106175199 and 2106175208.

It is not an unprimeable number, because it can be changed into a prime (2106175249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397 + ... + 65443.

It is an arithmetic number, because the mean of its divisors is an integer number (80865540).

Almost surely, 2^2106175240 is an apocalyptic number.

2106175240 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 2106175240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587697280).

2106175240 is an abundant number, since it is smaller than the sum of its proper divisors (3069219320).

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

2106175240 is a wasteful number, since it uses less digits than its factorization.

2106175240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57142 (or 57138 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2106175240 is about 45893.0848821475. The cubic root of 2106175240 is about 1281.8331562634.

The spelling of 2106175240 in words is "two billion, one hundred six million, one hundred seventy-five thousand, two hundred forty".