2033820672 has 176 divisors, whose sum is σ = 5898504192. Its totient is φ = 619315200.

The previous prime is 2033820637. The next prime is 2033820709. The reversal of 2033820672 is 2760283302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5071672 + ... + 5072072.

Almost surely, 2^2033820672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949252096).

2033820672 is an abundant number, since it is smaller than the sum of its proper divisors (3864683520).

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

2033820672 is a wasteful number, since it uses less digits than its factorization.

2033820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2033820672 is about 45097.9009711095. The cubic root of 2033820672 is about 1266.9832860704.

The spelling of 2033820672 in words is "two billion, thirty-three million, eight hundred twenty thousand, six hundred seventy-two".