2205213035144 has 192 divisors, whose sum is σ = 5255154722160. Its totient is φ = 861453680640.

The previous prime is 2205213035131. The next prime is 2205213035159. The reversal of 2205213035144 is 4415303125022.

It can be written as a sum of positive squares in 8 ways, for example, as 1143056063044 + 1062156972100 = 1069138^2 + 1030610^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2205213035144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37402232 + ... + 37461144.

Almost surely, 2^{2205213035144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205213035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627577361080).

2205213035144 is an abundant number, since it is smaller than the sum of its proper divisors (3049941687016).

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

2205213035144 is a wasteful number, since it uses less digits than its factorization.

2205213035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59128 (or 59117 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 2205213035144 in words is "two trillion, two hundred five billion, two hundred thirteen million, thirty-five thousand, one hundred forty-four".