2566453248 has 216 divisors, whose sum is σ = 7737387840. Its totient is φ = 851005440.

The previous prime is 2566453243. The next prime is 2566453249. The reversal of 2566453248 is 8423546652.

2566453248 is a `hidden beast` number, since 2 + 56 + 64 + 532 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566453243) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 13436833 + ... + 13437023.

It is an arithmetic number, because the mean of its divisors is an integer number (35821240).

Almost surely, 2^2566453248 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 2566453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868693920).

2566453248 is an abundant number, since it is smaller than the sum of its proper divisors (5170934592).

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

2566453248 is an frugal number, since it uses more digits than its factorization.

2566453248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 196 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2566453248 is about 50660.1741805138. The cubic root of 2566453248 is about 1369.1292614626.

The spelling of 2566453248 in words is "two billion, five hundred sixty-six million, four hundred fifty-three thousand, two hundred forty-eight".