2033820000 has 180 divisors, whose sum is σ = 7227920700. Its totient is φ = 542304000.

The previous prime is 2033819989. The next prime is 2033820013. The reversal of 2033820000 is 283302.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 174351 + ... + 185649.

It is an arithmetic number, because the mean of its divisors is an integer number (40155115).

Almost surely, 2^2033820000 is an apocalyptic number.

2033820000 is a gapful number since it is divisible by the number (20) 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 2033820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613960350).

2033820000 is an abundant number, since it is smaller than the sum of its proper divisors (5194100700).

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

2033820000 is a wasteful number, since it uses less digits than its factorization.

2033820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2033820000 is about 45097.8935206513. The cubic root of 2033820000 is about 1266.9831465280.

The spelling of 2033820000 in words is "two billion, thirty-three million, eight hundred twenty thousand".