2542409856 has 192 divisors, whose sum is σ = 8671615680. Its totient is φ = 726340608.

The previous prime is 2542409839. The next prime is 2542409917. The reversal of 2542409856 is 6589042452.

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

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 23 ways as a sum of consecutive naturals, for example, 211890 + ... + 223566.

It is an arithmetic number, because the mean of its divisors is an integer number (45164665).

Almost surely, 2^2542409856 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 2542409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335807840).

2542409856 is an abundant number, since it is smaller than the sum of its proper divisors (6129205824).

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

2542409856 is an equidigital number, since it uses as much as digits as its factorization.

2542409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2542409856 is about 50422.3150599018. The cubic root of 2542409856 is about 1364.8403532646.

It can be divided in two parts, 254 and 2409856, that added together give a triangular number (2410110 = T₂₁₉₅).

The spelling of 2542409856 in words is "two billion, five hundred forty-two million, four hundred nine thousand, eight hundred fifty-six".