2010242013 has 32 divisors (see below), whose sum is σ = 2962334592. Its totient is φ = 1204684800.

The previous prime is 2010241997. The next prime is 2010242033. The reversal of 2010242013 is 3102420102.

It is not a de Polignac number, because 2010242013 - 2⁴ = 2010241997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010241983 and 2010242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010242033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408006 + ... + 1409432.

It is an arithmetic number, because the mean of its divisors is an integer number (92572956).

Almost surely, 2^2010242013 is an apocalyptic number.

It is an amenable number.

2010242013 is a deficient number, since it is larger than the sum of its proper divisors (952092579).

2010242013 is a wasteful number, since it uses less digits than its factorization.

2010242013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2010242013 is about 44835.7225100700. The cubic root of 2010242013 is about 1262.0680770370.

Adding to 2010242013 its reverse (3102420102), we get a palindrome (5112662115).

The spelling of 2010242013 in words is "two billion, ten million, two hundred forty-two thousand, thirteen".