2242240313313 has 128 divisors (see below), whose sum is σ = 4192455536640. Its totient is φ = 1028406481920.

The previous prime is 2242240313281. The next prime is 2242240313347. The reversal of 2242240313313 is 3133130422422.

It is a happy number.

It is not a de Polignac number, because 2242240313313 - 2⁵ = 2242240313281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2242240313213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6384531 + ... + 6726567.

It is an arithmetic number, because the mean of its divisors is an integer number (32753558880).

Almost surely, 2^{2242240313313} is an apocalyptic number.

It is an amenable number.

2242240313313 is a deficient number, since it is larger than the sum of its proper divisors (1950215223327).

2242240313313 is a wasteful number, since it uses less digits than its factorization.

2242240313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342167.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2242240313313 its reverse (3133130422422), we get a palindrome (5375370735735).

The spelling of 2242240313313 in words is "two trillion, two hundred forty-two billion, two hundred forty million, three hundred thirteen thousand, three hundred thirteen".