2200464024400 has 120 divisors (see below), whose sum is σ = 5398161051384. Its totient is φ = 861790003200.

The previous prime is 2200464024397. The next prime is 2200464024449. The reversal of 2200464024400 is 44204640022.

It can be written as a sum of positive squares in 12 ways, for example, as 125965367056 + 2074498657344 = 354916^2 + 1440312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3725370 + ... + 4275430.

Almost surely, 2^{2200464024400} is an apocalyptic number.

2200464024400 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 2200464024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699080525692).

2200464024400 is an abundant number, since it is smaller than the sum of its proper divisors (3197697026984).

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

2200464024400 is a wasteful number, since it uses less digits than its factorization.

2200464024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550289 (or 550278 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2200464024400 its reverse (44204640022), we get a palindrome (2244668664422).

The spelling of 2200464024400 in words is "two trillion, two hundred billion, four hundred sixty-four million, twenty-four thousand, four hundred".