2000209440 has 96 divisors (see below), whose sum is σ = 6307471296. Its totient is φ = 532812800.

The previous prime is 2000209433. The next prime is 2000209441. The reversal of 2000209440 is 449020002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2000209440² = 8001675607730227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000209441) 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, 622879 + ... + 626081.

It is an arithmetic number, because the mean of its divisors is an integer number (65702826).

Almost surely, 2^2000209440 is an apocalyptic number.

2000209440 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 2000209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153735648).

2000209440 is an abundant number, since it is smaller than the sum of its proper divisors (4307261856).

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

2000209440 is a wasteful number, since it uses less digits than its factorization.

2000209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2000209440 is about 44723.7010990817. The cubic root of 2000209440 is about 1259.9650280039.

Adding to 2000209440 its reverse (449020002), we get a palindrome (2449229442).

The spelling of 2000209440 in words is "two billion, two hundred nine thousand, four hundred forty".