2559238500 has 192 divisors, whose sum is σ = 9172800000. Its totient is φ = 539942400.

The previous prime is 2559238499. The next prime is 2559238567. The reversal of 2559238500 is 58329552.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 127126 + ... + 145874.

It is an arithmetic number, because the mean of its divisors is an integer number (47775000).

Almost surely, 2^2559238500 is an apocalyptic number.

2559238500 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 2559238500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400000).

2559238500 is an abundant number, since it is smaller than the sum of its proper divisors (6613561500).

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

2559238500 is a wasteful number, since it uses less digits than its factorization.

2559238500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18791 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 2559238500 is about 50588.9167703757. The cubic root of 2559238500 is about 1367.8451036104.

The spelling of 2559238500 in words is "two billion, five hundred fifty-nine million, two hundred thirty-eight thousand, five hundred".