2205262126080 has 1408 divisors, whose sum is σ = 8713224172800. Its totient is φ = 528704077824.

The previous prime is 2205262126079. The next prime is 2205262126087. The reversal of 2205262126080 is 806212625022.

2205262126080 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 2 + 621 + 26 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205262126087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16096803772 + ... + 16096803908.

Almost surely, 2^{2205262126080} is an apocalyptic number.

2205262126080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205262126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356612086400).

2205262126080 is an abundant number, since it is smaller than the sum of its proper divisors (6507962046720).

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

2205262126080 is a wasteful number, since it uses less digits than its factorization.

2205262126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2205262126080 in words is "two trillion, two hundred five billion, two hundred sixty-two million, one hundred twenty-six thousand, eighty".