2027033216 has 128 divisors (see below), whose sum is σ = 4648311360. Its totient is φ = 872202240.

The previous prime is 2027033207. The next prime is 2027033237. The reversal of 2027033216 is 6123307202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3705455 + ... + 3706001.

Almost surely, 2^2027033216 is an apocalyptic number.

2027033216 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 2027033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324155680).

2027033216 is an abundant number, since it is smaller than the sum of its proper divisors (2621278144).

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

2027033216 is a wasteful number, since it uses less digits than its factorization.

2027033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 2027033216 is about 45022.5856209969. The cubic root of 2027033216 is about 1265.5722836721.

The spelling of 2027033216 in words is "two billion, twenty-seven million, thirty-three thousand, two hundred sixteen".