2106517580 has 24 divisors (see below), whose sum is σ = 4566387840. Its totient is φ = 815425920.

The previous prime is 2106517579. The next prime is 2106517603. The reversal of 2106517580 is 857156012.

It is a self number, because there is not a number n which added to its sum of digits gives 2106517580.

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 7 ways as a sum of consecutive naturals, for example, 1698185 + ... + 1699424.

It is an arithmetic number, because the mean of its divisors is an integer number (190266160).

Almost surely, 2^2106517580 is an apocalyptic number.

2106517580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106517580 is an abundant number, since it is smaller than the sum of its proper divisors (2459870260).

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

2106517580 is a wasteful number, since it uses less digits than its factorization.

2106517580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397649 (or 3397647 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 2106517580 is about 45896.8144864107. The cubic root of 2106517580 is about 1281.9026026832.

The spelling of 2106517580 in words is "two billion, one hundred six million, five hundred seventeen thousand, five hundred eighty".