2582267074068 has 192 divisors, whose sum is σ = 6951589908480. Its totient is φ = 739886192640.

The previous prime is 2582267074039. The next prime is 2582267074073. The reversal of 2582267074068 is 8604707622852.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2582267073999 and 2582267074017.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 522406405 + ... + 522411347.

It is an arithmetic number, because the mean of its divisors is an integer number (36206197440).

Almost surely, 2^{2582267074068} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582267074068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475794954240).

2582267074068 is an abundant number, since it is smaller than the sum of its proper divisors (4369322834412).

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

2582267074068 is a wasteful number, since it uses less digits than its factorization.

2582267074068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 2582267074068 in words is "two trillion, five hundred eighty-two billion, two hundred sixty-seven million, seventy-four thousand, sixty-eight".