2007884480 has 112 divisors (see below), whose sum is σ = 5521244736. Its totient is φ = 681246720.

The previous prime is 2007884471. The next prime is 2007884503. The reversal of 2007884480 is 844887002.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 212660 + ... + 221900.

It is an arithmetic number, because the mean of its divisors is an integer number (49296828).

Almost surely, 2^2007884480 is an apocalyptic number.

2007884480 is a gapful number since it is divisible by the number (20) 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 2007884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760622368).

2007884480 is an abundant number, since it is smaller than the sum of its proper divisors (3513360256).

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

2007884480 is an equidigital number, since it uses as much as digits as its factorization.

2007884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 2007884480 is about 44809.4240087953. The cubic root of 2007884480 is about 1261.5745160610.

The spelling of 2007884480 in words is "two billion, seven million, eight hundred eighty-four thousand, four hundred eighty".