2833920648 has 256 divisors, whose sum is σ = 8781696000. Its totient is φ = 841300992.

The previous prime is 2833920631. The next prime is 2833920659. The reversal of 2833920648 is 8460293382.

2833920648 = 479³ + 480³ + ... + 502³.

It is a super-2 number, since 2×2833920648² = 16062212478321479808, which contains 22 as substring.

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, 14385286 + ... + 14385482.

It is an arithmetic number, because the mean of its divisors is an integer number (34303500).

Almost surely, 2^2833920648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2833920648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

2833920648 is an abundant number, since it is smaller than the sum of its proper divisors (5947775352).

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

2833920648 is a wasteful number, since it uses less digits than its factorization.

2833920648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2833920648 is about 53234.5813170349. The cubic root of 2833920648 is about 1415.1285574533.

The spelling of 2833920648 in words is "two billion, eight hundred thirty-three million, nine hundred twenty thousand, six hundred forty-eight".