2584630396896 has 384 divisors, whose sum is σ = 7346337546240. Its totient is φ = 793226649600.

The previous prime is 2584630396891. The next prime is 2584630396921. The reversal of 2584630396896 is 6986930364852.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2584630396896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584630396891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3740419911 + ... + 3740420601.

It is an arithmetic number, because the mean of its divisors is an integer number (19131087360).

Almost surely, 2^{2584630396896} 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 2584630396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673168773120).

2584630396896 is an abundant number, since it is smaller than the sum of its proper divisors (4761707149344).

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

2584630396896 is a wasteful number, since it uses less digits than its factorization.

2584630396896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 2584630396896 in words is "two trillion, five hundred eighty-four billion, six hundred thirty million, three hundred ninety-six thousand, eight hundred ninety-six".