2530633200 has 120 divisors (see below), whose sum is σ = 8142745200. Its totient is φ = 671815680.

The previous prime is 2530633181. The next prime is 2530633229. The reversal of 2530633200 is 23360352.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270196 + ... + 279404.

It is an arithmetic number, because the mean of its divisors is an integer number (67856210).

Almost surely, 2^2530633200 is an apocalyptic number.

2530633200 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 2530633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071372600).

2530633200 is an abundant number, since it is smaller than the sum of its proper divisors (5612112000).

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

2530633200 is a wasteful number, since it uses less digits than its factorization.

2530633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2530633200 is about 50305.3993125986. The cubic root of 2530633200 is about 1362.7297393371.

Adding to 2530633200 its reverse (23360352), we get a palindrome (2553993552).

The spelling of 2530633200 in words is "two billion, five hundred thirty million, six hundred thirty-three thousand, two hundred".