2005148304 has 160 divisors (see below), whose sum is σ = 5881568000. Its totient is φ = 653930496.

The previous prime is 2005148297. The next prime is 2005148323. The reversal of 2005148304 is 4038415002.

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

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, 4567317 + ... + 4567755.

It is an arithmetic number, because the mean of its divisors is an integer number (36759800).

Almost surely, 2^2005148304 is an apocalyptic number.

2005148304 is a gapful number since it is divisible by the number (24) 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 2005148304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940784000).

2005148304 is an abundant number, since it is smaller than the sum of its proper divisors (3876419696).

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

2005148304 is a wasteful number, since it uses less digits than its factorization.

2005148304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

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

The square root of 2005148304 is about 44778.8823442479. The cubic root of 2005148304 is about 1261.0011996979.

The spelling of 2005148304 in words is "two billion, five million, one hundred forty-eight thousand, three hundred four".