2585841283872 has 576 divisors, whose sum is σ = 9816473721600. Its totient is φ = 625027645440.

The previous prime is 2585841283871. The next prime is 2585841283877. The reversal of 2585841283872 is 2783821485852.

2585841283872 is a `hidden beast` number, since 2 + 5 + 8 + 584 + 12 + 8 + 38 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2585841283871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33513754 + ... + 33590822.

It is an arithmetic number, because the mean of its divisors is an integer number (17042489100).

Almost surely, 2^{2585841283872} is an apocalyptic number.

2585841283872 is a gapful number since it is divisible by the number (22) 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 2585841283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908236860800).

2585841283872 is an abundant number, since it is smaller than the sum of its proper divisors (7230632437728).

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

2585841283872 is a wasteful number, since it uses less digits than its factorization.

2585841283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77209 (or 77198 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The spelling of 2585841283872 in words is "two trillion, five hundred eighty-five billion, eight hundred forty-one million, two hundred eighty-three thousand, eight hundred seventy-two".