2005308840 has 64 divisors (see below), whose sum is σ = 6083553600. Its totient is φ = 528737792.

The previous prime is 2005308829. The next prime is 2005308859. The reversal of 2005308840 is 488035002.

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 = 2005308798 and 2005308807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83202 + ... + 104561.

It is an arithmetic number, because the mean of its divisors is an integer number (95055525).

Almost surely, 2^2005308840 is an apocalyptic number.

2005308840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005308840 is an abundant number, since it is smaller than the sum of its proper divisors (4078244760).

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

2005308840 is a wasteful number, since it uses less digits than its factorization.

2005308840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187866 (or 187862 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2005308840 is about 44780.6748497608. The cubic root of 2005308840 is about 1261.0348515207.

The spelling of 2005308840 in words is "two billion, five million, three hundred eight thousand, eight hundred forty".