2543598624006 has 96 divisors (see below), whose sum is σ = 6283489006080. Its totient is φ = 736105708800.

The previous prime is 2543598623981. The next prime is 2543598624011. The reversal of 2543598624006 is 6004268953452.

2543598624006 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 5 + 9 + 8 + 624 + 0 + 0 + 6 = 666.

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, 2430990 + ... + 3316158.

It is an arithmetic number, because the mean of its divisors is an integer number (65453010480).

Almost surely, 2^{2543598624006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543598624006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141744503040).

2543598624006 is an abundant number, since it is smaller than the sum of its proper divisors (3739890382074).

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

2543598624006 is a wasteful number, since it uses less digits than its factorization.

2543598624006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885842 (or 885839 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2543598624006 in words is "two trillion, five hundred forty-three billion, five hundred ninety-eight million, six hundred twenty-four thousand, six".