2558633088 has 192 divisors, whose sum is σ = 7618665600. Its totient is φ = 759982080.

The previous prime is 2558633087. The next prime is 2558633131. The reversal of 2558633088 is 8803368552.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558633087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2462073 + ... + 2463111.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^2558633088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

2558633088 is an abundant number, since it is smaller than the sum of its proper divisors (5060032512).

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

2558633088 is a wasteful number, since it uses less digits than its factorization.

2558633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2558633088 is about 50582.9327738122. The cubic root of 2558633088 is about 1367.7372362184.

The spelling of 2558633088 in words is "two billion, five hundred fifty-eight million, six hundred thirty-three thousand, eighty-eight".