2205006242231 has 32 divisors (see below), whose sum is σ = 2530222894080. Its totient is φ = 1903542068736.

The previous prime is 2205006242221. The next prime is 2205006242269. The reversal of 2205006242231 is 1322426005022.

It is a cyclic number.

It is not a de Polignac number, because 2205006242231 - 2³⁸ = 1930128335287 is a prime.

It is a super-2 number, since 2×2205006242231² (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 = 2205006242194 and 2205006242203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205006242221) 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, 131343620 + ... + 131360406.

It is an arithmetic number, because the mean of its divisors is an integer number (79069465440).

Almost surely, 2^{2205006242231} is an apocalyptic number.

2205006242231 is a deficient number, since it is larger than the sum of its proper divisors (325216651849).

2205006242231 is a wasteful number, since it uses less digits than its factorization.

2205006242231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20543.

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 2205006242231 in words is "two trillion, two hundred five billion, six million, two hundred forty-two thousand, two hundred thirty-one".