2543523840 has 576 divisors, whose sum is σ = 10410210720. Its totient is φ = 566231040.

The previous prime is 2543523823. The next prime is 2543523859. The reversal of 2543523840 is 483253452.

2543523840 is a `hidden beast` number, since 2 + 54 + 3 + 523 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2543523795 and 2543523804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13178784 + ... + 13178976.

Almost surely, 2^2543523840 is an apocalyptic number.

2543523840 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 2543523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205105360).

2543523840 is an abundant number, since it is smaller than the sum of its proper divisors (7866686880).

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

2543523840 is a wasteful number, since it uses less digits than its factorization.

2543523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2543523840 is about 50433.3603877433. The cubic root of 2543523840 is about 1365.0396639442.

The spelling of 2543523840 in words is "two billion, five hundred forty-three million, five hundred twenty-three thousand, eight hundred forty".