2478813568 has 384 divisors, whose sum is σ = 6920985600. Its totient is φ = 870912000.

The previous prime is 2478813527. The next prime is 2478813593. The reversal of 2478813568 is 8653188742.

2478813568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2478813568³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40636258 + ... + 40636318.

It is an arithmetic number, because the mean of its divisors is an integer number (18023400).

Almost surely, 2^2478813568 is an apocalyptic number.

2478813568 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 2478813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460492800).

2478813568 is an abundant number, since it is smaller than the sum of its proper divisors (4442172032).

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

2478813568 is a wasteful number, since it uses less digits than its factorization.

2478813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 2478813568 is about 49787.6849029958. The cubic root of 2478813568 is about 1353.3640051180.

The spelling of 2478813568 in words is "two billion, four hundred seventy-eight million, eight hundred thirteen thousand, five hundred sixty-eight".