2010512 has 40 divisors (see below), whose sum is σ = 4612800. Its totient is φ = 830592.

The previous prime is 2010479. The next prime is 2010527. The reversal of 2010512 is 2150102.

2010512 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2010493 and 2010502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2939 + ... + 3557.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

2^2010512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306400).

2010512 is an abundant number, since it is smaller than the sum of its proper divisors (2602288).

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

2010512 is a wasteful number, since it uses less digits than its factorization.

2010512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2010512 is about 1417.9252448560. The cubic root of 2010512 is about 126.2124575495.

Adding to 2010512 its reverse (2150102), we get a palindrome (4160614).

The spelling of 2010512 in words is "two million, ten thousand, five hundred twelve".