2589520640 has 432 divisors, whose sum is σ = 7927204320. Its totient is φ = 805109760.

The previous prime is 2589520639. The next prime is 2589520649. The reversal of 2589520640 is 460259852.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (2589520649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48858854 + ... + 48858906.

It is an arithmetic number, because the mean of its divisors is an integer number (18350010).

Almost surely, 2^2589520640 is an apocalyptic number.

2589520640 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 2589520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963602160).

2589520640 is an abundant number, since it is smaller than the sum of its proper divisors (5337683680).

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

2589520640 is a wasteful number, since it uses less digits than its factorization.

2589520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 2589520640 is about 50887.3328049329. The cubic root of 2589520640 is about 1373.2189638840.

The spelling of 2589520640 in words is "two billion, five hundred eighty-nine million, five hundred twenty thousand, six hundred forty".