2205157914208 has 96 divisors (see below), whose sum is σ = 4607354836224. Its totient is φ = 1035337285632.

The previous prime is 2205157914151. The next prime is 2205157914209. The reversal of 2205157914208 is 8024197515022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205157914209) 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 15 ways as a sum of consecutive naturals, for example, 812810260 + ... + 812812972.

It is an arithmetic number, because the mean of its divisors is an integer number (47993279544).

Almost surely, 2^{2205157914208} 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 2205157914208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303677418112).

2205157914208 is an abundant number, since it is smaller than the sum of its proper divisors (2402196922016).

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

2205157914208 is a wasteful number, since it uses less digits than its factorization.

2205157914208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 2205157914208 in words is "two trillion, two hundred five billion, one hundred fifty-seven million, nine hundred fourteen thousand, two hundred eight".