2005341408 has 192 divisors, whose sum is σ = 6716183040. Its totient is φ = 570240000.

The previous prime is 2005341407. The next prime is 2005341409. The reversal of 2005341408 is 8041435002.

2005341408 is a `hidden beast` number, since 200 + 53 + 4 + 1 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (2005341407) and next prime (2005341409).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005341407) 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, 1517388 + ... + 1518708.

It is an arithmetic number, because the mean of its divisors is an integer number (34980120).

Almost surely, 2^2005341408 is an apocalyptic number.

2005341408 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 2005341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358091520).

2005341408 is an abundant number, since it is smaller than the sum of its proper divisors (4710841632).

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

2005341408 is a wasteful number, since it uses less digits than its factorization.

2005341408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2005341408 is about 44781.0384872883. The cubic root of 2005341408 is about 1261.0416782598.

The spelling of 2005341408 in words is "two billion, five million, three hundred forty-one thousand, four hundred eight".