2558319120 has 640 divisors, whose sum is σ = 10992153600. Its totient is φ = 533495808.

The previous prime is 2558319059. The next prime is 2558319121. The reversal of 2558319120 is 219138552.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2558319121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9510346 + ... + 9510614.

It is an arithmetic number, because the mean of its divisors is an integer number (17175240).

Almost surely, 2^2558319120 is an apocalyptic number.

2558319120 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 2558319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496076800).

2558319120 is an abundant number, since it is smaller than the sum of its proper divisors (8433834480).

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

2558319120 is a wasteful number, since it uses less digits than its factorization.

2558319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2558319120 is about 50579.8291812062. The cubic root of 2558319120 is about 1367.6812892504.

The spelling of 2558319120 in words is "two billion, five hundred fifty-eight million, three hundred nineteen thousand, one hundred twenty".