2578816504320 has 1280 divisors, whose sum is σ = 10041389309952. Its totient is φ = 552287600640.

The previous prime is 2578816504309. The next prime is 2578816504331. The reversal of 2578816504320 is 234056188752.

It is an interprime number because it is at equal distance from previous prime (2578816504309) and next prime (2578816504331).

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8400053607 + ... + 8400053913.

Almost surely, 2^{2578816504320} is an apocalyptic number.

2578816504320 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 2578816504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020694654976).

2578816504320 is an abundant number, since it is smaller than the sum of its proper divisors (7462572805632).

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

2578816504320 is a wasteful number, since it uses less digits than its factorization.

2578816504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 2578816504320 in words is "two trillion, five hundred seventy-eight billion, eight hundred sixteen million, five hundred four thousand, three hundred twenty".