2000033440 has 96 divisors (see below), whose sum is σ = 4840093440. Its totient is φ = 780708864.

The previous prime is 2000033429. The next prime is 2000033447. The reversal of 2000033440 is 443300002.

It is a super-2 number, since 2×2000033440² = 8000267522236467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2000033447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924441 + ... + 1925479.

It is an arithmetic number, because the mean of its divisors is an integer number (50417640).

Almost surely, 2^2000033440 is an apocalyptic number.

2000033440 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 2000033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

2000033440 is an abundant number, since it is smaller than the sum of its proper divisors (2840060000).

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

2000033440 is a wasteful number, since it uses less digits than its factorization.

2000033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2000033440 is about 44721.7334189989. The cubic root of 2000033440 is about 1259.9280718157.

Adding to 2000033440 its reverse (443300002), we get a palindrome (2443333442).

The spelling of 2000033440 in words is "two billion, thirty-three thousand, four hundred forty".