2568786003840 has 1536 divisors, whose sum is σ = 10452027801600. Its totient is φ = 532998144000.

The previous prime is 2568786003829. The next prime is 2568786003857. The reversal of 2568786003840 is 483006878652.

It is a happy number.

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

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 191 ways as a sum of consecutive naturals, for example, 8367380967 + ... + 8367381273.

It is an arithmetic number, because the mean of its divisors is an integer number (6804705600).

Almost surely, 2^{2568786003840} is an apocalyptic number.

2568786003840 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 2568786003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226013900800).

2568786003840 is an abundant number, since it is smaller than the sum of its proper divisors (7883241797760).

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

2568786003840 is a wasteful number, since it uses less digits than its factorization.

2568786003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 2568786003840 in words is "two trillion, five hundred sixty-eight billion, seven hundred eighty-six million, three thousand, eight hundred forty".