2016862848 has 768 divisors, whose sum is σ = 8204716800. Its totient is φ = 474439680.

The previous prime is 2016862829. The next prime is 2016862867. The reversal of 2016862848 is 8482686102.

2016862848 is a `hidden beast` number, since 2 + 0 + 16 + 8 + 628 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2016862829) and next prime (2016862867).

It is a super-2 number, since 2×2016862848² = 8135471495285342208, which contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 38053990 + ... + 38054042.

It is an arithmetic number, because the mean of its divisors is an integer number (10683225).

Almost surely, 2^2016862848 is an apocalyptic number.

2016862848 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 2016862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102358400).

2016862848 is an abundant number, since it is smaller than the sum of its proper divisors (6187853952).

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

2016862848 is a wasteful number, since it uses less digits than its factorization.

2016862848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2016862848 is about 44909.4961895588. The cubic root of 2016862848 is about 1263.4521206189.

The spelling of 2016862848 in words is "two billion, sixteen million, eight hundred sixty-two thousand, eight hundred forty-eight".