2981860320 has 96 divisors (see below), whose sum is σ = 9419010048. Its totient is φ = 792949248.

The previous prime is 2981860313. The next prime is 2981860363. The reversal of 2981860320 is 230681892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 167697 + ... + 184623.

It is an arithmetic number, because the mean of its divisors is an integer number (98114688).

Almost surely, 2^2981860320 is an apocalyptic number.

2981860320 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 2981860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709505024).

2981860320 is an abundant number, since it is smaller than the sum of its proper divisors (6437149728).

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

2981860320 is a wasteful number, since it uses less digits than its factorization.

2981860320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17312 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2981860320 is about 54606.4128102185. The cubic root of 2981860320 is about 1439.3368088121.

The spelling of 2981860320 in words is "two billion, nine hundred eighty-one million, eight hundred sixty thousand, three hundred twenty".