2543375842560 has 1800 divisors, whose sum is σ = 11260032033096. Its totient is φ = 546236006400.

The previous prime is 2543375842541. The next prime is 2543375842561. The reversal of 2543375842560 is 652485733452.

2543375842560 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 3 + 7 + 584 + 2 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 948146217984 + 1595229624576 = 973728^2 + 1263024^2 .

It is a super-3 number, since 3×2543375842560³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2543375842497 and 2543375842506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543375842561) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4231906260 + ... + 4231906860.

Almost surely, 2^{2543375842560} is an apocalyptic number.

2543375842560 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 2543375842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630016016548).

2543375842560 is an abundant number, since it is smaller than the sum of its proper divisors (8716656190536).

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

2543375842560 is an frugal number, since it uses more digits than its factorization.

2543375842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 2543375842560 in words is "two trillion, five hundred forty-three billion, three hundred seventy-five million, eight hundred forty-two thousand, five hundred sixty".