2553353200 has 60 divisors (see below), whose sum is σ = 6163707928. Its totient is φ = 1016467200.

The previous prime is 2553353177. The next prime is 2553353203. The reversal of 2553353200 is 23533552.

It is a super-2 number, since 2×2553353200² = 13039225127900480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553353203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69274 + ... + 99526.

Almost surely, 2^2553353200 is an apocalyptic number.

2553353200 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 2553353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081853964).

2553353200 is an abundant number, since it is smaller than the sum of its proper divisors (3610354728).

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

2553353200 is a wasteful number, since it uses less digits than its factorization.

2553353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30482 (or 30471 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

The square root of 2553353200 is about 50530.7154115198. The cubic root of 2553353200 is about 1366.7957865976.

Adding to 2553353200 its reverse (23533552), we get a palindrome (2576886752).

The spelling of 2553353200 in words is "two billion, five hundred fifty-three million, three hundred fifty-three thousand, two hundred".