2010440313 has 48 divisors (see below), whose sum is σ = 3368701440. Its totient is φ = 1131660288.

The previous prime is 2010440309. The next prime is 2010440317. The reversal of 2010440313 is 3130440102.

It is an interprime number because it is at equal distance from previous prime (2010440309) and next prime (2010440317).

It is not a de Polignac number, because 2010440313 - 2² = 2010440309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2010440317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2057281 + ... + 2058257.

It is an arithmetic number, because the mean of its divisors is an integer number (70181280).

Almost surely, 2^2010440313 is an apocalyptic number.

It is an amenable number.

2010440313 is a deficient number, since it is larger than the sum of its proper divisors (1358261127).

2010440313 is a wasteful number, since it uses less digits than its factorization.

2010440313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2010440313 is about 44837.9338618541. The cubic root of 2010440313 is about 1262.1095745067.

Adding to 2010440313 its reverse (3130440102), we get a palindrome (5140880415).

The spelling of 2010440313 in words is "two billion, ten million, four hundred forty thousand, three hundred thirteen".