2543640053760 has 1536 divisors, whose sum is σ = 10339873689600. Its totient is φ = 588597166080.

The previous prime is 2543640053749. The next prime is 2543640053761. The reversal of 2543640053760 is 673500463452.

2543640053760 is a `hidden beast` number, since 2 + 54 + 3 + 6 + 4 + 0 + 0 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2543640053761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4122592972 + ... + 4122593588.

It is an arithmetic number, because the mean of its divisors is an integer number (6731688600).

Almost surely, 2^{2543640053760} is an apocalyptic number.

2543640053760 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 2543640053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169936844800).

2543640053760 is an abundant number, since it is smaller than the sum of its proper divisors (7796233635840).

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

2543640053760 is a wasteful number, since it uses less digits than its factorization.

2543640053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 2543640053760 in words is "two trillion, five hundred forty-three billion, six hundred forty million, fifty-three thousand, seven hundred sixty".