2566098048 has 192 divisors, whose sum is σ = 7628090400. Its totient is φ = 762052608.

The previous prime is 2566098013. The next prime is 2566098053. The reversal of 2566098048 is 8408906652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2566097988 and 2566098006.

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 23 ways as a sum of consecutive naturals, for example, 2107936 + ... + 2109152.

Almost surely, 2^2566098048 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 2566098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814045200).

2566098048 is an abundant number, since it is smaller than the sum of its proper divisors (5061992352).

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

2566098048 is a wasteful number, since it uses less digits than its factorization.

2566098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2566098048 is about 50656.6683468228. The cubic root of 2566098048 is about 1369.0660955414.

The spelling of 2566098048 in words is "two billion, five hundred sixty-six million, ninety-eight thousand, forty-eight".