2002226563141 has 16 divisors (see below), whose sum is σ = 2325847564800. Its totient is φ = 1688004564480.

The previous prime is 2002226563133. The next prime is 2002226563153. The reversal of 2002226563141 is 1413656222002.

It is a cyclic number.

It is not a de Polignac number, because 2002226563141 - 2³ = 2002226563133 is a prime.

It is a super-2 number, since 2×2002226563141² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002226563097 and 2002226563106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002226563111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17885460 + ... + 17997058.

It is an arithmetic number, because the mean of its divisors is an integer number (145365472800).

Almost surely, 2^{2002226563141} is an apocalyptic number.

It is an amenable number.

2002226563141 is a deficient number, since it is larger than the sum of its proper divisors (323621001659).

2002226563141 is a wasteful number, since it uses less digits than its factorization.

2002226563141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153684.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 2002226563141 in words is "two trillion, two billion, two hundred twenty-six million, five hundred sixty-three thousand, one hundred forty-one".