2581395829068 has 144 divisors (see below), whose sum is σ = 7385261452800. Its totient is φ = 697791024000.

The previous prime is 2581395829037. The next prime is 2581395829069. The reversal of 2581395829068 is 8609285931852.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2581395829069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8236338 + ... + 8544006.

Almost surely, 2^{2581395829068} is an apocalyptic number.

2581395829068 is a gapful number since it is divisible by the number (28) 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 2581395829068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692630726400).

2581395829068 is an abundant number, since it is smaller than the sum of its proper divisors (4803865623732).

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

2581395829068 is a wasteful number, since it uses less digits than its factorization.

2581395829068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308460 (or 308451 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 2581395829068 in words is "two trillion, five hundred eighty-one billion, three hundred ninety-five million, eight hundred twenty-nine thousand, sixty-eight".