2543027200 has 264 divisors, whose sum is σ = 7529553792. Its totient is φ = 832634880.

The previous prime is 2543027191. The next prime is 2543027209. The reversal of 2543027200 is 27203452.

It is an interprime number because it is at equal distance from previous prime (2543027191) and next prime (2543027209).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2543027209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4121292 + ... + 4121908.

Almost surely, 2^2543027200 is an apocalyptic number.

2543027200 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 2543027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764776896).

2543027200 is an abundant number, since it is smaller than the sum of its proper divisors (4986526592).

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

2543027200 is a wasteful number, since it uses less digits than its factorization.

2543027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 2543027200 is about 50428.4364223203. The cubic root of 2543027200 is about 1364.9508137939.

The spelling of 2543027200 in words is "two billion, five hundred forty-three million, twenty-seven thousand, two hundred".