2558672352 has 144 divisors (see below), whose sum is σ = 7722449280. Its totient is φ = 801858816.

The previous prime is 2558672321. The next prime is 2558672383. The reversal of 2558672352 is 2532768552.

2558672352 is a `hidden beast` number, since 2 + 558 + 67 + 2 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2558672321) and next prime (2558672383).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2558672298 and 2558672307.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 387543 + ... + 394089.

It is an arithmetic number, because the mean of its divisors is an integer number (53628120).

Almost surely, 2^2558672352 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 2558672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861224640).

2558672352 is an abundant number, since it is smaller than the sum of its proper divisors (5163776928).

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

2558672352 is a wasteful number, since it uses less digits than its factorization.

2558672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6634 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2558672352 is about 50583.3208874230. The cubic root of 2558672352 is about 1367.7442324749.

The spelling of 2558672352 in words is "two billion, five hundred fifty-eight million, six hundred seventy-two thousand, three hundred fifty-two".