2558666880 has 640 divisors, whose sum is σ = 11409932160. Its totient is φ = 530841600.

The previous prime is 2558666867. The next prime is 2558666881. The reversal of 2558666880 is 886668552.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558666881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991360 + ... + 3992000.

It is an arithmetic number, because the mean of its divisors is an integer number (17828019).

Almost surely, 2^2558666880 is an apocalyptic number.

2558666880 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 2558666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704966080).

2558666880 is an abundant number, since it is smaller than the sum of its proper divisors (8851265280).

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

2558666880 is a wasteful number, since it uses less digits than its factorization.

2558666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 2558666880 is about 50583.2667984186. The cubic root of 2558666880 is about 1367.7432574508.

The spelling of 2558666880 in words is "two billion, five hundred fifty-eight million, six hundred sixty-six thousand, eight hundred eighty".