2005322340 has 96 divisors (see below), whose sum is σ = 6431572224. Its totient is φ = 457320960.

The previous prime is 2005322323. The next prime is 2005322353. The reversal of 2005322340 is 432235002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188442 + ... + 198798.

It is an arithmetic number, because the mean of its divisors is an integer number (66995544).

Almost surely, 2^2005322340 is an apocalyptic number.

2005322340 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 2005322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215786112).

2005322340 is an abundant number, since it is smaller than the sum of its proper divisors (4426249884).

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

2005322340 is a wasteful number, since it uses less digits than its factorization.

2005322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10837 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2005322340 is about 44780.8255841716. The cubic root of 2005322340 is about 1261.0376813313.

Adding to 2005322340 its reverse (432235002), we get a palindrome (2437557342).

The spelling of 2005322340 in words is "two billion, five million, three hundred twenty-two thousand, three hundred forty".