2543254272000 has 2304 divisors, whose sum is σ = 10742908176000. Its totient is φ = 573308928000.

The previous prime is 2543254271993. The next prime is 2543254272001. The reversal of 2543254272000 is 2724523452.

2543254272000 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 25 + 427 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543254272001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 23332607946 + ... + 23332608054.

Almost surely, 2^{2543254272000} is an apocalyptic number.

2543254272000 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 2543254272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371454088000).

2543254272000 is an abundant number, since it is smaller than the sum of its proper divisors (8199653904000).

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

2543254272000 is a wasteful number, since it uses less digits than its factorization.

2543254272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 2543254272000 its reverse (2724523452), we get a palindrome (2545978795452).

The spelling of 2543254272000 in words is "two trillion, five hundred forty-three billion, two hundred fifty-four million, two hundred seventy-two thousand".