2981433006 has 48 divisors (see below), whose sum is σ = 6747421824. Its totient is φ = 949644432.

The previous prime is 2981432977. The next prime is 2981433023. The reversal of 2981433006 is 6003341892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488385 + ... + 494451.

It is an arithmetic number, because the mean of its divisors is an integer number (140571288).

It is a vampire number, since it can be written as 36402 ⋅ 81903 (with its own digits).

Almost surely, 2^2981433006 is an apocalyptic number.

It is a pronic number, being equal to 54602×54603.

2981433006 is an abundant number, since it is smaller than the sum of its proper divisors (3765988818).

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

2981433006 is a wasteful number, since it uses less digits than its factorization.

2981433006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2981433006 is about 54602.4999977107. The cubic root of 2981433006 is about 1439.2680510473.

Adding to 2981433006 its reverse (6003341892), we get a palindrome (8984774898).

The spelling of 2981433006 in words is "two billion, nine hundred eighty-one million, four hundred thirty-three thousand, six".