2205438488748 has 144 divisors (see below), whose sum is σ = 6138427276800. Its totient is φ = 662104805760.

The previous prime is 2205438488699. The next prime is 2205438488749. The reversal of 2205438488748 is 8478848345022.

2205438488748 is a `hidden beast` number, since 2 + 2 + 0 + 54 + 38 + 488 + 74 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2205438488749) 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 47 ways as a sum of consecutive naturals, for example, 19009965 + ... + 19125627.

It is an arithmetic number, because the mean of its divisors is an integer number (42627967200).

Almost surely, 2^{2205438488748} 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 2205438488748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069213638400).

2205438488748 is an abundant number, since it is smaller than the sum of its proper divisors (3932988788052).

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

2205438488748 is a wasteful number, since it uses less digits than its factorization.

2205438488748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116132 (or 116127 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 63.

The spelling of 2205438488748 in words is "two trillion, two hundred five billion, four hundred thirty-eight million, four hundred eighty-eight thousand, seven hundred forty-eight".