2589097680 has 240 divisors, whose sum is σ = 9667047936. Its totient is φ = 616688640.

The previous prime is 2589097673. The next prime is 2589097691. The reversal of 2589097680 is 867909852.

It is a happy number.

2589097680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285699 + ... + 294621.

Almost surely, 2^2589097680 is an apocalyptic number.

2589097680 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 2589097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833523968).

2589097680 is an abundant number, since it is smaller than the sum of its proper divisors (7077950256).

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

2589097680 is a wasteful number, since it uses less digits than its factorization.

2589097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2589097680 is about 50883.1767876181. The cubic root of 2589097680 is about 1373.1441947924.

The spelling of 2589097680 in words is "two billion, five hundred eighty-nine million, ninety-seven thousand, six hundred eighty".