2010440224 has 72 divisors (see below), whose sum is σ = 4335134580. Its totient is φ = 917250048.

The previous prime is 2010440209. The next prime is 2010440233. The reversal of 2010440224 is 4220440102.

It can be written as a sum of positive squares in 6 ways, for example, as 431808400 + 1578631824 = 20780^2 + 39732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479224 + ... + 483400.

Almost surely, 2^2010440224 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 2010440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167567290).

2010440224 is an abundant number, since it is smaller than the sum of its proper divisors (2324694356).

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

2010440224 is a wasteful number, since it uses less digits than its factorization.

2010440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2010440224 is about 44837.9328693908. The cubic root of 2010440224 is about 1262.1095558826.

Adding to 2010440224 its reverse (4220440102), we get a palindrome (6230880326).

The spelling of 2010440224 in words is "two billion, ten million, four hundred forty thousand, two hundred twenty-four".