2578239682560 has 288 divisors, whose sum is σ = 9243853164000. Its totient is φ = 663821942784.

The previous prime is 2578239682541. The next prime is 2578239682597. The reversal of 2578239682560 is 652869328752.

2578239682560 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 2 + 3 + 9 + 68 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×2578239682560⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190301 + ... + 3154979.

It is an arithmetic number, because the mean of its divisors is an integer number (32096712375).

Almost surely, 2^{2578239682560} is an apocalyptic number.

2578239682560 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 2578239682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621926582000).

2578239682560 is an abundant number, since it is smaller than the sum of its proper divisors (6665613481440).

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

2578239682560 is a wasteful number, since it uses less digits than its factorization.

2578239682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964741 (or 964718 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2578239682560 in words is "two trillion, five hundred seventy-eight billion, two hundred thirty-nine million, six hundred eighty-two thousand, five hundred sixty".