2005145304 has 32 divisors (see below), whose sum is σ = 5014649520. Its totient is φ = 668143616.

The previous prime is 2005145287. The next prime is 2005145321. The reversal of 2005145304 is 4035415002.

It is an interprime number because it is at equal distance from previous prime (2005145287) and next prime (2005145321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61972 + ... + 88604.

Almost surely, 2^2005145304 is an apocalyptic number.

2005145304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005145304 is an abundant number, since it is smaller than the sum of its proper divisors (3009504216).

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

2005145304 is a wasteful number, since it uses less digits than its factorization.

2005145304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29779 (or 29775 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2005145304 is about 44778.8488463024. The cubic root of 2005145304 is about 1261.0005708158. Note that the first 3 decimals are identical.

The spelling of 2005145304 in words is "two billion, five million, one hundred forty-five thousand, three hundred four".