2006329440 has 192 divisors, whose sum is σ = 6538262976. Its totient is φ = 516759552.

The previous prime is 2006329379. The next prime is 2006329447. The reversal of 2006329440 is 449236002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2006329398 and 2006329407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006329447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072154 + ... + 3072806.

It is an arithmetic number, because the mean of its divisors is an integer number (34053453).

Almost surely, 2^2006329440 is an apocalyptic number.

2006329440 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 2006329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269131488).

2006329440 is an abundant number, since it is smaller than the sum of its proper divisors (4531933536).

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

2006329440 is a wasteful number, since it uses less digits than its factorization.

2006329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2006329440 is about 44792.0689408292. The cubic root of 2006329440 is about 1261.2487493943.

The spelling of 2006329440 in words is "two billion, six million, three hundred twenty-nine thousand, four hundred forty".