2552035200 has 576 divisors, whose sum is σ = 10008994800. Its totient is φ = 571084800.

The previous prime is 2552035193. The next prime is 2552035207. The reversal of 2552035200 is 25302552.

It is an interprime number because it is at equal distance from previous prime (2552035193) and next prime (2552035207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552035207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196310394 + ... + 196310406.

Almost surely, 2^2552035200 is an apocalyptic number.

2552035200 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 2552035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004497400).

2552035200 is an abundant number, since it is smaller than the sum of its proper divisors (7456959600).

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

2552035200 is a wasteful number, since it uses less digits than its factorization.

2552035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2552035200 is about 50517.6721553953. The cubic root of 2552035200 is about 1366.5605734286.

Adding to 2552035200 its reverse (25302552), we get a palindrome (2577337752).

The spelling of 2552035200 in words is "two billion, five hundred fifty-two million, thirty-five thousand, two hundred".