2033649216 has 63 divisors (see below), whose sum is σ = 5832192171. Its totient is φ = 677522304.

The previous prime is 2033649179. The next prime is 2033649227. The reversal of 2033649216 is 6129463302.

The square root of 2033649216 is 45096.

It is a perfect power (a square), and thus also a powerful number.

2033649216 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 649 + 2 + 1 + 6 = 666.

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

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 8 ways as a sum of consecutive naturals, for example, 1081365 + ... + 1083243.

Almost surely, 2^2033649216 is an apocalyptic number.

2033649216 is the 45096-th square number.

It is an amenable number.

2033649216 is an abundant number, since it is smaller than the sum of its proper divisors (3798542955).

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

2033649216 is an frugal number, since it uses more digits than its factorization.

2033649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 2033649216 is about 1266.9476818185.

Multiplying 2033649216 by its sum of digits (36), we get a square (73211371776 = 270576²).

2033649216 divided by its sum of digits (36) gives a square (56490256 = 7516²).

Multiplying 2033649216 by its product of nonzero digits (46656), we get a square (94881937821696 = 9740736²).

It can be divided in two parts, 2033 and 649216, that added together give a square (651249 = 807²).

The spelling of 2033649216 in words is "two billion, thirty-three million, six hundred forty-nine thousand, two hundred sixteen".