2204205440300 has 144 divisors (see below), whose sum is σ = 5074199230464. Its totient is φ = 829738560000.

The previous prime is 2204205440279. The next prime is 2204205440303. The reversal of 2204205440300 is 30445024022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2204205440300.

It is not an unprimeable number, because it can be changed into a prime (2204205440303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39500219 + ... + 39555981.

It is an arithmetic number, because the mean of its divisors is an integer number (35237494656).

Almost surely, 2^{2204205440300} is an apocalyptic number.

2204205440300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204205440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537099615232).

2204205440300 is an abundant number, since it is smaller than the sum of its proper divisors (2869993790164).

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

2204205440300 is a wasteful number, since it uses less digits than its factorization.

2204205440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56160 (or 56153 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The spelling of 2204205440300 in words is "two trillion, two hundred four billion, two hundred five million, four hundred forty thousand, three hundred".