2082106520 has 64 divisors (see below), whose sum is σ = 5073516000. Its totient is φ = 764448768.

The previous prime is 2082106517. The next prime is 2082106549. The reversal of 2082106520 is 256012802.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2082106520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81896 + ... + 104264.

Almost surely, 2^2082106520 is an apocalyptic number.

2082106520 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 2082106520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536758000).

2082106520 is an abundant number, since it is smaller than the sum of its proper divisors (2991409480).

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

2082106520 is a wasteful number, since it uses less digits than its factorization.

2082106520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22572 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2082106520 is about 45630.1054129837. The cubic root of 2082106520 is about 1276.9316397958.

The spelling of 2082106520 in words is "two billion, eighty-two million, one hundred six thousand, five hundred twenty".