2558088720 has 240 divisors, whose sum is σ = 9431128512. Its totient is φ = 616227840.

The previous prime is 2558088707. The next prime is 2558088751. The reversal of 2558088720 is 278808552.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1369227 + ... + 1371093.

Almost surely, 2^2558088720 is an apocalyptic number.

2558088720 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 2558088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715564256).

2558088720 is an abundant number, since it is smaller than the sum of its proper divisors (6873039792).

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

2558088720 is a wasteful number, since it uses less digits than its factorization.

2558088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2558088720 is about 50577.5515421615. The cubic root of 2558088720 is about 1367.6402306211.

The spelling of 2558088720 in words is "two billion, five hundred fifty-eight million, eighty-eight thousand, seven hundred twenty".