2534208768 has 720 divisors, whose sum is σ = 9972103680. Its totient is φ = 621084672.

The previous prime is 2534208713. The next prime is 2534208779. The reversal of 2534208768 is 8678024352.

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 79 ways as a sum of consecutive naturals, for example, 32078553 + ... + 32078631.

It is an arithmetic number, because the mean of its divisors is an integer number (13850144).

Almost surely, 2^2534208768 is an apocalyptic number.

2534208768 is a gapful number since it is divisible by the number (28) 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 2534208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986051840).

2534208768 is an abundant number, since it is smaller than the sum of its proper divisors (7437894912).

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

2534208768 is a wasteful number, since it uses less digits than its factorization.

2534208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2534208768 is about 50340.9253788605. The cubic root of 2534208768 is about 1363.3712441094.

The spelling of 2534208768 in words is "two billion, five hundred thirty-four million, two hundred eight thousand, seven hundred sixty-eight".