2468053568016 has 375 divisors, whose sum is σ = 7640307520923. Its totient is φ = 769163558400.

The previous prime is 2468053567943. The next prime is 2468053568039. The reversal of 2468053568016 is 6108653508642.

The square root of 2468053568016 is 1571004.

It is a perfect power (a square), and thus also a powerful number.

2468053568016 is a `hidden beast` number, since 2 + 4 + 68 + 0 + 5 + 3 + 568 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 765968038416 + 1702085529600 = 875196^2 + 1304640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 74 ways as a sum of consecutive naturals, for example, 16344725541 + ... + 16344725691.

Almost surely, 2^{2468053568016} is an apocalyptic number.

2468053568016 is the 1571004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468053568016

2468053568016 is an abundant number, since it is smaller than the sum of its proper divisors (5172253952907).

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

2468053568016 is an frugal number, since it uses more digits than its factorization.

2468053568016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2468053568016 in words is "two trillion, four hundred sixty-eight billion, fifty-three million, five hundred sixty-eight thousand, sixteen".