2605433451200 has 168 divisors, whose sum is σ = 6696464717280. Its totient is φ = 996465254400.

The previous prime is 2605433451167. The next prime is 2605433451209. The reversal of 2605433451200 is 21543345062.

It is not an unprimeable number, because it can be changed into a prime (2605433451209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4506620 + ... + 5051780.

Almost surely, 2^{2605433451200} is an apocalyptic number.

2605433451200 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 2605433451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348232358640).

2605433451200 is an abundant number, since it is smaller than the sum of its proper divisors (4091031266080).

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

2605433451200 is a wasteful number, since it uses less digits than its factorization.

2605433451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545315 (or 545300 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 2605433451200 its reverse (21543345062), we get a palindrome (2626976796262).

The spelling of 2605433451200 in words is "two trillion, six hundred five billion, four hundred thirty-three million, four hundred fifty-one thousand, two hundred".