2205058005600 has 144 divisors (see below), whose sum is σ = 7489527639552. Its totient is φ = 562449564160.

The previous prime is 2205058005589. The next prime is 2205058005611. The reversal of 2205058005600 is 65008505022.

It is an interprime number because it is at equal distance from previous prime (2205058005589) and next prime (2205058005611).

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 23 ways as a sum of consecutive naturals, for example, 19918152 + ... + 20028551.

It is an arithmetic number, because the mean of its divisors is an integer number (52010608608).

Almost surely, 2^{2205058005600} is an apocalyptic number.

2205058005600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205058005600 is an abundant number, since it is smaller than the sum of its proper divisors (5284469633952).

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

2205058005600 is a wasteful number, since it uses less digits than its factorization.

2205058005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39946749 (or 39946736 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 2205058005600 in words is "two trillion, two hundred five billion, fifty-eight million, five thousand, six hundred".