2106256020 has 192 divisors, whose sum is σ = 6843432960. Its totient is φ = 478656000.

The previous prime is 2106255959. The next prime is 2106256049. The reversal of 2106256020 is 206526012.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1265709 + ... + 1267371.

It is an arithmetic number, because the mean of its divisors is an integer number (35642880).

Almost surely, 2^2106256020 is an apocalyptic number.

2106256020 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 2106256020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421716480).

2106256020 is an abundant number, since it is smaller than the sum of its proper divisors (4737176940).

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

2106256020 is a wasteful number, since it uses less digits than its factorization.

2106256020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2106256020 is about 45893.9649627269. The cubic root of 2106256020 is about 1281.8495438138.

The spelling of 2106256020 in words is "two billion, one hundred six million, two hundred fifty-six thousand, twenty".