2005463068 has 48 divisors (see below), whose sum is σ = 4115865600. Its totient is φ = 837111744.

The previous prime is 2005463039. The next prime is 2005463099. The reversal of 2005463068 is 8603645002.

It is a happy number.

It is a super-2 number, since 2×2005463068² = 8043764234223945248, which contains 22 as substring.

It is a congruent number.

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, 458958 + ... + 463306.

It is an arithmetic number, because the mean of its divisors is an integer number (85747200).

Almost surely, 2^2005463068 is an apocalyptic number.

2005463068 is a gapful number since it is divisible by the number (28) 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 2005463068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057932800).

2005463068 is an abundant number, since it is smaller than the sum of its proper divisors (2110402532).

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

2005463068 is a wasteful number, since it uses less digits than its factorization.

2005463068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2005463068 is about 44782.3968541212. The cubic root of 2005463068 is about 1261.0671793586.

The spelling of 2005463068 in words is "two billion, five million, four hundred sixty-three thousand, sixty-eight".