2010052000 has 144 divisors (see below), whose sum is σ = 5429793096. Its totient is φ = 730752000.

The previous prime is 2010051983. The next prime is 2010052021. The reversal of 2010052000 is 2500102.

It can be written as a sum of positive squares in 4 ways, for example, as 108743184 + 1901308816 = 10428^2 + 43604^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481924 + ... + 486076.

Almost surely, 2^2010052000 is an apocalyptic number.

2010052000 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 2010052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714896548).

2010052000 is an abundant number, since it is smaller than the sum of its proper divisors (3419741096).

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

2010052000 is a wasteful number, since it uses less digits than its factorization.

2010052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2010052000 is about 44833.6034688268. The cubic root of 2010052000 is about 1262.0283111952.

Adding to 2010052000 its reverse (2500102), we get a palindrome (2012552102).

The spelling of 2010052000 in words is "two billion, ten million, fifty-two thousand".