4005502984 has 64 divisors (see below), whose sum is σ = 8761996800. Its totient is φ = 1681016064.

The previous prime is 4005502973. The next prime is 4005502999. The reversal of 4005502984 is 4892055004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133054 + ... + 2134930.

It is an arithmetic number, because the mean of its divisors is an integer number (136906200).

Almost surely, 2^4005502984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005502984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380998400).

4005502984 is an abundant number, since it is smaller than the sum of its proper divisors (4756493816).

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

4005502984 is a wasteful number, since it uses less digits than its factorization.

4005502984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 4005502984 is about 63289.0431591441. The cubic root of 4005502984 is about 1588.1286719459.

Adding to 4005502984 its reverse (4892055004), we get a palindrome (8897557988).

The spelling of 4005502984 in words is "four billion, five million, five hundred two thousand, nine hundred eighty-four".