2689135589640 has 128 divisors (see below), whose sum is σ = 8420291884800. Its totient is φ = 685751024640.

The previous prime is 2689135589629. The next prime is 2689135589641. The reversal of 2689135589640 is 469855319862.

It is not an unprimeable number, because it can be changed into a prime (2689135589641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10976806 + ... + 11219114.

It is an arithmetic number, because the mean of its divisors is an integer number (65783530350).

Almost surely, 2^{2689135589640} is an apocalyptic number.

2689135589640 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 2689135589640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210145942400).

2689135589640 is an abundant number, since it is smaller than the sum of its proper divisors (5731156295160).

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

2689135589640 is a wasteful number, since it uses less digits than its factorization.

2689135589640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246367 (or 246363 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 66.

The spelling of 2689135589640 in words is "two trillion, six hundred eighty-nine billion, one hundred thirty-five million, five hundred eighty-nine thousand, six hundred forty".