2558246760 has 256 divisors, whose sum is σ = 8963136000. Its totient is φ = 647792640.

The previous prime is 2558246749. The next prime is 2558246791. The reversal of 2558246760 is 676428552.

2558246760 is a `hidden beast` number, since 2 + 5 + 582 + 4 + 6 + 7 + 60 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4495756 + ... + 4496324.

It is an arithmetic number, because the mean of its divisors is an integer number (35012250).

Almost surely, 2^2558246760 is an apocalyptic number.

2558246760 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 2558246760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2558246760 is an abundant number, since it is smaller than the sum of its proper divisors (6404889240).

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

2558246760 is a wasteful number, since it uses less digits than its factorization.

2558246760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2558246760 is about 50579.1138712414. The cubic root of 2558246760 is about 1367.6683945401.

The spelling of 2558246760 in words is "two billion, five hundred fifty-eight million, two hundred forty-six thousand, seven hundred sixty".