2648394216 has 96 divisors (see below), whose sum is σ = 7771196160. Its totient is φ = 809963136.

The previous prime is 2648394197. The next prime is 2648394233. The reversal of 2648394216 is 6124938462.

2648394216 = 3899² + 3900² + ... + 4065².

2648394216 is a `hidden beast` number, since 2 + 6 + 48 + 394 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147841 + ... + 164783.

It is an arithmetic number, because the mean of its divisors is an integer number (80949960).

Almost surely, 2^2648394216 is an apocalyptic number.

2648394216 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 2648394216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885598080).

2648394216 is an abundant number, since it is smaller than the sum of its proper divisors (5122801944).

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

2648394216 is a wasteful number, since it uses less digits than its factorization.

2648394216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17135 (or 17128 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2648394216 is about 51462.5515885095. The cubic root of 2648394216 is about 1383.5479342039.

The spelling of 2648394216 in words is "two billion, six hundred forty-eight million, three hundred ninety-four thousand, two hundred sixteen".