2558828064 has 96 divisors (see below), whose sum is σ = 7247076480. Its totient is φ = 785866752.

The previous prime is 2558828057. The next prime is 2558828119. The reversal of 2558828064 is 4608288552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2558828064² = 13095202122227976192, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 805872 + ... + 809040.

It is an arithmetic number, because the mean of its divisors is an integer number (75490380).

Almost surely, 2^2558828064 is an apocalyptic number.

2558828064 is a gapful number since it is divisible by the number (24) 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 2558828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623538240).

2558828064 is an abundant number, since it is smaller than the sum of its proper divisors (4688248416).

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

2558828064 is a wasteful number, since it uses less digits than its factorization.

2558828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 2558828064 is about 50584.8600274825. The cubic root of 2558828064 is about 1367.7719773155.

The spelling of 2558828064 in words is "two billion, five hundred fifty-eight million, eight hundred twenty-eight thousand, sixty-four".