2589661135044 has 336 divisors, whose sum is σ = 7286956850880. Its totient is φ = 802495330560.

The previous prime is 2589661134989. The next prime is 2589661135109. The reversal of 2589661135044 is 4405311669852.

2589661135044 is a `hidden beast` number, since 2 + 589 + 6 + 6 + 1 + 1 + 3 + 50 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1087634734 + ... + 1087637114.

It is an arithmetic number, because the mean of its divisors is an integer number (21687371580).

Almost surely, 2^{2589661135044} 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 2589661135044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643478425440).

2589661135044 is an abundant number, since it is smaller than the sum of its proper divisors (4697295715836).

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

2589661135044 is a wasteful number, since it uses less digits than its factorization.

2589661135044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2589661135044 in words is "two trillion, five hundred eighty-nine billion, six hundred sixty-one million, one hundred thirty-five thousand, forty-four".