2553146200 has 96 divisors (see below), whose sum is σ = 6491727360. Its totient is φ = 926121600.

The previous prime is 2553146191. The next prime is 2553146221. The reversal of 2553146200 is 26413552.

2553146200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1070209 + ... + 1072591.

It is an arithmetic number, because the mean of its divisors is an integer number (67622160).

Almost surely, 2^2553146200 is an apocalyptic number.

2553146200 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 2553146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245863680).

2553146200 is an abundant number, since it is smaller than the sum of its proper divisors (3938581160).

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

2553146200 is a wasteful number, since it uses less digits than its factorization.

2553146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2553146200 is about 50528.6671108590. The cubic root of 2553146200 is about 1366.7588502827.

Adding to 2553146200 its reverse (26413552), we get a palindrome (2579559752).

The spelling of 2553146200 in words is "two billion, five hundred fifty-three million, one hundred forty-six thousand, two hundred".