2530567200 has 576 divisors, whose sum is σ = 10031357952. Its totient is φ = 541900800.

The previous prime is 2530567183. The next prime is 2530567211. The reversal of 2530567200 is 27650352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22394344 + ... + 22394456.

It is an arithmetic number, because the mean of its divisors is an integer number (17415552).

Almost surely, 2^2530567200 is an apocalyptic number.

2530567200 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 2530567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015678976).

2530567200 is an abundant number, since it is smaller than the sum of its proper divisors (7500790752).

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

2530567200 is a wasteful number, since it uses less digits than its factorization.

2530567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2530567200 is about 50304.7433151189. The cubic root of 2530567200 is about 1362.7178923753.

The spelling of 2530567200 in words is "two billion, five hundred thirty million, five hundred sixty-seven thousand, two hundred".