2004384151 has 24 divisors (see below), whose sum is σ = 2654204544. Its totient is φ = 1493941680.

The previous prime is 2004384139. The next prime is 2004384163. The reversal of 2004384151 is 1514834002.

It is an interprime number because it is at equal distance from previous prime (2004384139) and next prime (2004384163).

It is not a de Polignac number, because 2004384151 - 2¹⁷ = 2004253079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004384121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68445 + ... + 93238.

It is an arithmetic number, because the mean of its divisors is an integer number (110591856).

Almost surely, 2^2004384151 is an apocalyptic number.

2004384151 is a deficient number, since it is larger than the sum of its proper divisors (649820393).

2004384151 is a wasteful number, since it uses less digits than its factorization.

2004384151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161731 (or 161724 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2004384151 is about 44770.3490158386. The cubic root of 2004384151 is about 1260.8409920495.

The spelling of 2004384151 in words is "two billion, four million, three hundred eighty-four thousand, one hundred fifty-one".