2001616848 has 180 divisors, whose sum is σ = 7037334304. Its totient is φ = 519868800.

The previous prime is 2001616829. The next prime is 2001616879. The reversal of 2001616848 is 8486161002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113763 + ... + 130173.

Almost surely, 2^2001616848 is an apocalyptic number.

2001616848 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 2001616848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518667152).

2001616848 is an abundant number, since it is smaller than the sum of its proper divisors (5035717456).

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

2001616848 is a wasteful number, since it uses less digits than its factorization.

2001616848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16454 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2001616848 is about 44739.4328082062. The cubic root of 2001616848 is about 1260.2604752497.

It can be divided in two parts, 20016 and 16848, that added together give a square (36864 = 192²).

The spelling of 2001616848 in words is "two billion, one million, six hundred sixteen thousand, eight hundred forty-eight".