2116318848 has 256 divisors, whose sum is σ = 7041427200. Its totient is φ = 549126144.

The previous prime is 2116318823. The next prime is 2116318889. The reversal of 2116318848 is 8488136112.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1324386 + ... + 1325982.

It is an arithmetic number, because the mean of its divisors is an integer number (27505575).

Almost surely, 2^2116318848 is an apocalyptic number.

2116318848 is a gapful number since it is divisible by the number (28) 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 2116318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520713600).

2116318848 is an abundant number, since it is smaller than the sum of its proper divisors (4925108352).

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

2116318848 is a wasteful number, since it uses less digits than its factorization.

2116318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1655 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 2116318848 is about 46003.4656085821. The cubic root of 2116318848 is about 1283.8876853651.

The spelling of 2116318848 in words is "two billion, one hundred sixteen million, three hundred eighteen thousand, eight hundred forty-eight".