2558034024 has 288 divisors, whose sum is σ = 8226303840. Its totient is φ = 660441600.

The previous prime is 2558034007. The next prime is 2558034053. The reversal of 2558034024 is 4204308552.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 12123279 + ... + 12123489.

It is an arithmetic number, because the mean of its divisors is an integer number (28563555).

Almost surely, 2^2558034024 is an apocalyptic number.

2558034024 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 2558034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113151920).

2558034024 is an abundant number, since it is smaller than the sum of its proper divisors (5668269816).

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

2558034024 is a wasteful number, since it uses less digits than its factorization.

2558034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2558034024 is about 50577.0108250774. The cubic root of 2558034024 is about 1367.6304831115.

The spelling of 2558034024 in words is "two billion, five hundred fifty-eight million, thirty-four thousand, twenty-four".