2982559104 has 512 divisors, whose sum is σ = 10747699200. Its totient is φ = 796262400.

The previous prime is 2982559103. The next prime is 2982559117. The reversal of 2982559104 is 4019552892.

It is a happy number.

2982559104 is a `hidden beast` number, since 2 + 9 + 82 + 559 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2982559104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982559103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30747984 + ... + 30748080.

It is an arithmetic number, because the mean of its divisors is an integer number (20991600).

Almost surely, 2^2982559104 is an apocalyptic number.

2982559104 is a gapful number since it is divisible by the number (24) 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 2982559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373849600).

2982559104 is an abundant number, since it is smaller than the sum of its proper divisors (7765140096).

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

2982559104 is a wasteful number, since it uses less digits than its factorization.

2982559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2982559104 is about 54612.8108047919. The cubic root of 2982559104 is about 1439.4492338162.

The spelling of 2982559104 in words is "two billion, nine hundred eighty-two million, five hundred fifty-nine thousand, one hundred four".