2588139840 has 448 divisors, whose sum is σ = 10231038720. Its totient is φ = 544604160.

The previous prime is 2588139833. The next prime is 2588139859. The reversal of 2588139840 is 489318852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2588139840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333206 + ... + 2334314.

It is an arithmetic number, because the mean of its divisors is an integer number (22837140).

Almost surely, 2^2588139840 is an apocalyptic number.

2588139840 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 2588139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115519360).

2588139840 is an abundant number, since it is smaller than the sum of its proper divisors (7642898880).

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

2588139840 is a wasteful number, since it uses less digits than its factorization.

2588139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 2588139840 is about 50873.7637687640. The cubic root of 2588139840 is about 1372.9748417558.

The spelling of 2588139840 in words is "two billion, five hundred eighty-eight million, one hundred thirty-nine thousand, eight hundred forty".