2006472384 has 252 divisors, whose sum is σ = 6940579464. Its totient is φ = 573060096.

The previous prime is 2006472361. The next prime is 2006472431. The reversal of 2006472384 is 4832746002.

2006472384 is a `hidden beast` number, since 2 + 0 + 0 + 647 + 2 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760732 + ... + 763364.

It is an arithmetic number, because the mean of its divisors is an integer number (27541982).

Almost surely, 2^2006472384 is an apocalyptic number.

2006472384 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 2006472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470289732).

2006472384 is an abundant number, since it is smaller than the sum of its proper divisors (4934107080).

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

2006472384 is an equidigital number, since it uses as much as digits as its factorization.

2006472384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2006472384 is about 44793.6645520324. The cubic root of 2006472384 is about 1261.2787018797.

The spelling of 2006472384 in words is "two billion, six million, four hundred seventy-two thousand, three hundred eighty-four".