2558898720 has 576 divisors, whose sum is σ = 10868981760. Its totient is φ = 534988800.

The previous prime is 2558898709. The next prime is 2558898721. The reversal of 2558898720 is 278988552.

2558898720 is a `hidden beast` number, since 2 + 558 + 8 + 9 + 87 + 2 + 0 = 666.

It is a super-3 number, since 3×2558898720³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2558898721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5936905 + ... + 5937335.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^2558898720 is an apocalyptic number.

2558898720 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 2558898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434490880).

2558898720 is an abundant number, since it is smaller than the sum of its proper divisors (8310083040).

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

2558898720 is a wasteful number, since it uses less digits than its factorization.

2558898720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 2558898720 is about 50585.5584134444. The cubic root of 2558898720 is about 1367.7845664650.

The spelling of 2558898720 in words is "two billion, five hundred fifty-eight million, eight hundred ninety-eight thousand, seven hundred twenty".