2552340200 has 96 divisors (see below), whose sum is σ = 6122655000. Its totient is φ = 988876800.

The previous prime is 2552340191. The next prime is 2552340247. The reversal of 2552340200 is 20432552.

It can be written as a sum of positive squares in 12 ways, for example, as 2696164 + 2549644036 = 1642^2 + 50494^2 .

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, 1220756 + ... + 1222844.

Almost surely, 2^2552340200 is an apocalyptic number.

2552340200 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 2552340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061327500).

2552340200 is an abundant number, since it is smaller than the sum of its proper divisors (3570314800).

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

2552340200 is a wasteful number, since it uses less digits than its factorization.

2552340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2552340200 is about 50520.6908107955. The cubic root of 2552340200 is about 1366.6150115978.

Adding to 2552340200 its reverse (20432552), we get a palindrome (2572772752).

The spelling of 2552340200 in words is "two billion, five hundred fifty-two million, three hundred forty thousand, two hundred".