2982803616 has 288 divisors, whose sum is σ = 9978171840. Its totient is φ = 868921344.

The previous prime is 2982803573. The next prime is 2982803647. The reversal of 2982803616 is 6163082892.

2982803616 is a `hidden beast` number, since 2 + 9 + 8 + 28 + 0 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2982803616³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919896 + ... + 1921448.

It is an arithmetic number, because the mean of its divisors is an integer number (34646430).

Almost surely, 2^2982803616 is an apocalyptic number.

2982803616 is a gapful number since it is divisible by the number (26) 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 2982803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989085920).

2982803616 is an abundant number, since it is smaller than the sum of its proper divisors (6995368224).

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

2982803616 is a wasteful number, since it uses less digits than its factorization.

2982803616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2982803616 is about 54615.0493545506. The cubic root of 2982803616 is about 1439.4885683810.

The spelling of 2982803616 in words is "two billion, nine hundred eighty-two million, eight hundred three thousand, six hundred sixteen".