2552320405200 has 480 divisors, whose sum is σ = 8761356737280. Its totient is φ = 633559449600.

The previous prime is 2552320405183. The next prime is 2552320405211. The reversal of 2552320405200 is 25040232552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489980196 + ... + 489985404.

It is an arithmetic number, because the mean of its divisors is an integer number (18252826536).

Almost surely, 2^{2552320405200} is an apocalyptic number.

2552320405200 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 2552320405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380678368640).

2552320405200 is an abundant number, since it is smaller than the sum of its proper divisors (6209036332080).

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

2552320405200 is a wasteful number, since it uses less digits than its factorization.

2552320405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 2552320405200 its reverse (25040232552), we get a palindrome (2577360637752).

The spelling of 2552320405200 in words is "two trillion, five hundred fifty-two billion, three hundred twenty million, four hundred five thousand, two hundred".