2578005927840 has 384 divisors, whose sum is σ = 10012174179840. Its totient is φ = 544131514368.

The previous prime is 2578005927811. The next prime is 2578005927841. The reversal of 2578005927840 is 487295008752.

It is a super-2 number, since 2×2578005927840² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2578005927841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2601576 + ... + 3453144.

It is an arithmetic number, because the mean of its divisors is an integer number (26073370260).

Almost surely, 2^{2578005927840} is an apocalyptic number.

2578005927840 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 2578005927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006087089920).

2578005927840 is an abundant number, since it is smaller than the sum of its proper divisors (7434168252000).

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

2578005927840 is a wasteful number, since it uses less digits than its factorization.

2578005927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851664 (or 851656 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 2578005927840 in words is "two trillion, five hundred seventy-eight billion, five million, nine hundred twenty-seven thousand, eight hundred forty".