2648963616 has 96 divisors (see below), whose sum is σ = 7647913728. Its totient is φ = 797706240.

The previous prime is 2648963593. The next prime is 2648963627. The reversal of 2648963616 is 6163698462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36076 + ... + 81236.

It is an arithmetic number, because the mean of its divisors is an integer number (79665768).

Almost surely, 2^2648963616 is an apocalyptic number.

2648963616 is a gapful number since it is divisible by the number (26) 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 2648963616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823956864).

2648963616 is an abundant number, since it is smaller than the sum of its proper divisors (4998950112).

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

2648963616 is a wasteful number, since it uses less digits than its factorization.

2648963616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45234 (or 45226 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 2648963616 is about 51468.0834692725. The cubic root of 2648963616 is about 1383.6470805391.

The spelling of 2648963616 in words is "two billion, six hundred forty-eight million, nine hundred sixty-three thousand, six hundred sixteen".