2205394987248 has 240 divisors, whose sum is σ = 6683489729280. Its totient is φ = 702688960512.

The previous prime is 2205394987241. The next prime is 2205394987291. The reversal of 2205394987248 is 8427894935022.

2205394987248 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 39 + 498 + 72 + 48 = 666.

It is a super-2 number, since 2×2205394987248² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205394987241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 144769840 + ... + 144785072.

It is an arithmetic number, because the mean of its divisors is an integer number (27847873872).

Almost surely, 2^{2205394987248} 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 2205394987248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341744864640).

2205394987248 is an abundant number, since it is smaller than the sum of its proper divisors (4478094742032).

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

2205394987248 is a wasteful number, since it uses less digits than its factorization.

2205394987248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16898 (or 16880 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2205394987248 in words is "two trillion, two hundred five billion, three hundred ninety-four million, nine hundred eighty-seven thousand, two hundred forty-eight".