2984379120 has 320 divisors, whose sum is σ = 10606464000. Its totient is φ = 770964480.

The previous prime is 2984379119. The next prime is 2984379133. The reversal of 2984379120 is 219734892.

2984379120 is a `hidden beast` number, since 2 + 98 + 437 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14996781 + ... + 14996979.

It is an arithmetic number, because the mean of its divisors is an integer number (33145200).

Almost surely, 2^2984379120 is an apocalyptic number.

2984379120 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 2984379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232000).

2984379120 is an abundant number, since it is smaller than the sum of its proper divisors (7622084880).

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

2984379120 is a wasteful number, since it uses less digits than its factorization.

2984379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2984379120 is about 54629.4711671274. The cubic root of 2984379120 is about 1439.7419676551.

The spelling of 2984379120 in words is "two billion, nine hundred eighty-four million, three hundred seventy-nine thousand, one hundred twenty".