2987128320 has 320 divisors, whose sum is σ = 10971797760. Its totient is φ = 685670400.

The previous prime is 2987128307. The next prime is 2987128321. The reversal of 2987128320 is 238217892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987128321) by changing a digit.

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, 1604190 + ... + 1606050.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 2^2987128320 is an apocalyptic number.

2987128320 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 2987128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

2987128320 is an abundant number, since it is smaller than the sum of its proper divisors (7984669440).

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

2987128320 is a wasteful number, since it uses less digits than its factorization.

2987128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2987128320 is about 54654.6276174305. The cubic root of 2987128320 is about 1440.1839271238.

The spelling of 2987128320 in words is "two billion, nine hundred eighty-seven million, one hundred twenty-eight thousand, three hundred twenty".