2589693322304 has 112 divisors (see below), whose sum is σ = 5975710070400. Its totient is φ = 1100453928960.

The previous prime is 2589693322303. The next prime is 2589693322327. The reversal of 2589693322304 is 4032233969852.

It is a self number, because there is not a number n which added to its sum of digits gives 2589693322304.

It is not an unprimeable number, because it can be changed into a prime (2589693322303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057109 + ... + 2509355.

It is an arithmetic number, because the mean of its divisors is an integer number (53354554200).

Almost surely, 2^{2589693322304} 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 2589693322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987855035200).

2589693322304 is an abundant number, since it is smaller than the sum of its proper divisors (3386016748096).

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

2589693322304 is a wasteful number, since it uses less digits than its factorization.

2589693322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452436 (or 1452426 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 56.

The spelling of 2589693322304 in words is "two trillion, five hundred eighty-nine billion, six hundred ninety-three million, three hundred twenty-two thousand, three hundred four".