2578031004096 has 336 divisors, whose sum is σ = 7594862839200. Its totient is φ = 835853230080.

The previous prime is 2578031004019. The next prime is 2578031004097. The reversal of 2578031004096 is 6904001308752.

2578031004096 is a `hidden beast` number, since 2 + 578 + 0 + 31 + 0 + 0 + 40 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578031004097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040786410 + ... + 1040788886.

It is an arithmetic number, because the mean of its divisors is an integer number (22603758450).

It is a 1-persistent number, because it is pandigital, but 2⋅2578031004096 = 5156062008192 is not.

Almost surely, 2^{2578031004096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578031004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797431419600).

2578031004096 is an abundant number, since it is smaller than the sum of its proper divisors (5016831835104).

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

2578031004096 is a wasteful number, since it uses less digits than its factorization.

2578031004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2578031004096 in words is "two trillion, five hundred seventy-eight billion, thirty-one million, four thousand, ninety-six".