2832997248 has 192 divisors, whose sum is σ = 8649824400. Its totient is φ = 912798720.

The previous prime is 2832997169. The next prime is 2832997273. The reversal of 2832997248 is 8427992382.

It is a happy number.

2832997248 is a `hidden beast` number, since 283 + 299 + 72 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2832997194 and 2832997203.

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 23 ways as a sum of consecutive naturals, for example, 3320790 + ... + 3321642.

Almost surely, 2^2832997248 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 2832997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324912200).

2832997248 is an abundant number, since it is smaller than the sum of its proper divisors (5816827152).

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

2832997248 is an equidigital number, since it uses as much as digits as its factorization.

2832997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 889 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2832997248 is about 53225.9076766193. The cubic root of 2832997248 is about 1414.9748397096.

The spelling of 2832997248 in words is "two billion, eight hundred thirty-two million, nine hundred ninety-seven thousand, two hundred forty-eight".