2552541200 has 120 divisors (see below), whose sum is σ = 6871226880. Its totient is φ = 903052800.

The previous prime is 2552541191. The next prime is 2552541217. The reversal of 2552541200 is 21452552.

It is a self number, because there is not a number n which added to its sum of digits gives 2552541200.

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, 154961 + ... + 170639.

It is an arithmetic number, because the mean of its divisors is an integer number (57260224).

Almost surely, 2^2552541200 is an apocalyptic number.

2552541200 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 2552541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435613440).

2552541200 is an abundant number, since it is smaller than the sum of its proper divisors (4318685680).

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

2552541200 is a wasteful number, since it uses less digits than its factorization.

2552541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745 (or 15734 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 2552541200 is about 50522.6800555948. The cubic root of 2552541200 is about 1366.6508848730.

Adding to 2552541200 its reverse (21452552), we get a palindrome (2573993752).

The spelling of 2552541200 in words is "two billion, five hundred fifty-two million, five hundred forty-one thousand, two hundred".