2478253568 has 80 divisors (see below), whose sum is σ = 5692135680. Its totient is φ = 1055901696.

The previous prime is 2478253517. The next prime is 2478253573. The reversal of 2478253568 is 8653528742.

It is a super-2 number, since 2×2478253568² = 12283481494609461248, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 639605 + ... + 643467.

It is an arithmetic number, because the mean of its divisors is an integer number (71151696).

Almost surely, 2^2478253568 is an apocalyptic number.

2478253568 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 2478253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846067840).

2478253568 is an abundant number, since it is smaller than the sum of its proper divisors (3213882112).

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

2478253568 is an equidigital number, since it uses as much as digits as its factorization.

2478253568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4051 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 50.

The square root of 2478253568 is about 49782.0607046354. The cubic root of 2478253568 is about 1353.2620825784.

The spelling of 2478253568 in words is "two billion, four hundred seventy-eight million, two hundred fifty-three thousand, five hundred sixty-eight".