2006082624 has 224 divisors, whose sum is σ = 6877588480. Its totient is φ = 501147648.

The previous prime is 2006082601. The next prime is 2006082647. The reversal of 2006082624 is 4262806002.

It is an interprime number because it is at equal distance from previous prime (2006082601) and next prime (2006082647).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2006082591 and 2006082600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328947 + ... + 334989.

It is an arithmetic number, because the mean of its divisors is an integer number (30703520).

Almost surely, 2^2006082624 is an apocalyptic number.

2006082624 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 2006082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438794240).

2006082624 is an abundant number, since it is smaller than the sum of its proper divisors (4871505856).

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

2006082624 is a wasteful number, since it uses less digits than its factorization.

2006082624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2006082624 is about 44789.3137254859. The cubic root of 2006082624 is about 1261.1970282211.

Adding to 2006082624 its reverse (4262806002), we get a palindrome (6268888626).

The spelling of 2006082624 in words is "two billion, six million, eighty-two thousand, six hundred twenty-four".