2205135541020 has 48 divisors (see below), whose sum is σ = 6183720593568. Its totient is φ = 587146517760.

The previous prime is 2205135540977. The next prime is 2205135541033. The reversal of 2205135541020 is 201455315022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27760839 + ... + 27840158.

It is an arithmetic number, because the mean of its divisors is an integer number (128827512366).

Almost surely, 2^{2205135541020} is an apocalyptic number.

2205135541020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205135541020 is an abundant number, since it is smaller than the sum of its proper divisors (3978585052548).

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

2205135541020 is a wasteful number, since it uses less digits than its factorization.

2205135541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55601670 (or 55601668 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 2205135541020 in words is "two trillion, two hundred five billion, one hundred thirty-five million, five hundred forty-one thousand, twenty".