2552515200 has 384 divisors, whose sum is σ = 9652953600. Its totient is φ = 658022400.

The previous prime is 2552515193. The next prime is 2552515211. The reversal of 2552515200 is 25152552.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2677924 + ... + 2678876.

It is an arithmetic number, because the mean of its divisors is an integer number (25137900).

Almost surely, 2^2552515200 is an apocalyptic number.

2552515200 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 2552515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826476800).

2552515200 is an abundant number, since it is smaller than the sum of its proper divisors (7100438400).

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

2552515200 is a wasteful number, since it uses less digits than its factorization.

2552515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 2552515200 is about 50522.4227447576. The cubic root of 2552515200 is about 1366.6462446548.

Adding to 2552515200 its reverse (25152552), we get a palindrome (2577667752).

The spelling of 2552515200 in words is "two billion, five hundred fifty-two million, five hundred fifteen thousand, two hundred".