2205103057920 has 1584 divisors, whose sum is σ = 9548307812160. Its totient is φ = 460324601856.

The previous prime is 2205103057903. The next prime is 2205103057921. The reversal of 2205103057920 is 297503015022.

2205103057920 is a `hidden beast` number, since 2 + 2 + 0 + 51 + 0 + 30 + 579 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2205103057921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3376880314 + ... + 3376880966.

Almost surely, 2^{2205103057920} is an apocalyptic number.

2205103057920 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 2205103057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774153906080).

2205103057920 is an abundant number, since it is smaller than the sum of its proper divisors (7343204754240).

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

2205103057920 is a wasteful number, since it uses less digits than its factorization.

2205103057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 2205103057920 in words is "two trillion, two hundred five billion, one hundred three million, fifty-seven thousand, nine hundred twenty".