2588286540 has 384 divisors, whose sum is σ = 9022648320. Its totient is φ = 541900800.

The previous prime is 2588286539. The next prime is 2588286551. The reversal of 2588286540 is 456828852.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2588286540.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35455944 + ... + 35456016.

It is an arithmetic number, because the mean of its divisors is an integer number (23496480).

Almost surely, 2^2588286540 is an apocalyptic number.

2588286540 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 2588286540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511324160).

2588286540 is an abundant number, since it is smaller than the sum of its proper divisors (6434361780).

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

2588286540 is a wasteful number, since it uses less digits than its factorization.

2588286540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 2588286540 is about 50875.2055524103. The cubic root of 2588286540 is about 1373.0007820857. Note that the first 3 decimals are identical.

The spelling of 2588286540 in words is "two billion, five hundred eighty-eight million, two hundred eighty-six thousand, five hundred forty".