2442504071136 has 24 divisors (see below), whose sum is σ = 6411573186984. Its totient is φ = 814168023680.

The previous prime is 2442504071129. The next prime is 2442504071153. The reversal of 2442504071136 is 6311704052442.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2442504071136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442504071094 and 2442504071103.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12721375275 + ... + 12721375466.

It is an arithmetic number, because the mean of its divisors is an integer number (267148882791).

Almost surely, 2^{2442504071136} is an apocalyptic number.

It is an amenable number.

2442504071136 is an abundant number, since it is smaller than the sum of its proper divisors (3969069115848).

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

2442504071136 is a wasteful number, since it uses less digits than its factorization.

2442504071136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25442750754 (or 25442750746 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2442504071136 in words is "two trillion, four hundred forty-two billion, five hundred four million, seventy-one thousand, one hundred thirty-six".