2010385920 has 160 divisors (see below), whose sum is σ = 6524546688. Its totient is φ = 527966208.

The previous prime is 2010385901. The next prime is 2010385931. The reversal of 2010385920 is 295830102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512607 + ... + 516513.

Almost surely, 2^2010385920 is an apocalyptic number.

2010385920 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 2010385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262273344).

2010385920 is an abundant number, since it is smaller than the sum of its proper divisors (4514160768).

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

2010385920 is an equidigital number, since it uses as much as digits as its factorization.

2010385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2010385920 is about 44837.3273066092. The cubic root of 2010385920 is about 1262.0981921667.

The spelling of 2010385920 in words is "two billion, ten million, three hundred eighty-five thousand, nine hundred twenty".