2578994380800 has 720 divisors, whose sum is σ = 9595435852800. Its totient is φ = 687492956160.

The previous prime is 2578994380723. The next prime is 2578994380819. The reversal of 2578994380800 is 80834998752.

2578994380800 is a `hidden beast` number, since 25 + 78 + 9 + 94 + 380 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895793761 + ... + 895796639.

It is an arithmetic number, because the mean of its divisors is an integer number (13326994240).

Almost surely, 2^{2578994380800} is an apocalyptic number.

2578994380800 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 2578994380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797717926400).

2578994380800 is an abundant number, since it is smaller than the sum of its proper divisors (7016441472000).

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

2578994380800 is an frugal number, since it uses more digits than its factorization.

2578994380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2578994380800 in words is "two trillion, five hundred seventy-eight billion, nine hundred ninety-four million, three hundred eighty thousand, eight hundred".