2204393478400 has 243 divisors, whose sum is σ = 5558937961059. Its totient is φ = 865461104640.

The previous prime is 2204393478383. The next prime is 2204393478433. The reversal of 2204393478400 is 48743934022.

The square root of 2204393478400 is 1484720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 505145661696 + 1699247816704 = 710736^2 + 1303552^2 .

It is a super-2 number, since 2×2204393478400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7958099062 + ... + 7958099338.

Almost surely, 2^{2204393478400} is an apocalyptic number.

2204393478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2204393478400 is the 1484720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204393478400

2204393478400 is an abundant number, since it is smaller than the sum of its proper divisors (3354544482659).

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

2204393478400 is an frugal number, since it uses more digits than its factorization.

2204393478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 2204393478400 in words is "two trillion, two hundred four billion, three hundred ninety-three million, four hundred seventy-eight thousand, four hundred".