2984158720 has 80 divisors (see below), whose sum is σ = 7321651920. Its totient is φ = 1165860864.

The previous prime is 2984158717. The next prime is 2984158721. The reversal of 2984158720 is 278514892.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984158721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96526 + ... + 123634.

It is an arithmetic number, because the mean of its divisors is an integer number (91520649).

Almost surely, 2^2984158720 is an apocalyptic number.

2984158720 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 2984158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660825960).

2984158720 is an abundant number, since it is smaller than the sum of its proper divisors (4337493200).

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

2984158720 is an equidigital number, since it uses as much as digits as its factorization.

2984158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27175 (or 27159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 2984158720 is about 54627.4539036921. The cubic root of 2984158720 is about 1439.7065245552.

The spelling of 2984158720 in words is "two billion, nine hundred eighty-four million, one hundred fifty-eight thousand, seven hundred twenty".