2648280096 has 288 divisors, whose sum is σ = 9739312128. Its totient is φ = 687709440.

The previous prime is 2648280083. The next prime is 2648280109. The reversal of 2648280096 is 6900828462.

2648280096 is a `hidden beast` number, since 2 + 6 + 482 + 80 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2648280083) and next prime (2648280109).

It is a tau number, because it is divible by the number of its divisors (288).

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, 596541 + ... + 600963.

It is an arithmetic number, because the mean of its divisors is an integer number (33817056).

Almost surely, 2^2648280096 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 2648280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869656064).

2648280096 is an abundant number, since it is smaller than the sum of its proper divisors (7091032032).

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

2648280096 is a wasteful number, since it uses less digits than its factorization.

2648280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2648280096 is about 51461.4428091557. The cubic root of 2648280096 is about 1383.5280614375.

The spelling of 2648280096 in words is "two billion, six hundred forty-eight million, two hundred eighty thousand, ninety-six".