2409984248 has 48 divisors (see below), whose sum is σ = 5261875200. Its totient is φ = 1031788800.

The previous prime is 2409984217. The next prime is 2409984293. The reversal of 2409984248 is 8424899042.

It is a junction number, because it is equal to n+sod(n) for n = 2409984196 and 2409984205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468233 + ... + 473351.

It is an arithmetic number, because the mean of its divisors is an integer number (109622400).

Almost surely, 2^2409984248 is an apocalyptic number.

2409984248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2409984248 is an abundant number, since it is smaller than the sum of its proper divisors (2851890952).

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

2409984248 is a wasteful number, since it uses less digits than its factorization.

2409984248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 2409984248 is about 49091.5903999860. The cubic root of 2409984248 is about 1340.7199383708.

The spelling of 2409984248 in words is "two billion, four hundred nine million, nine hundred eighty-four thousand, two hundred forty-eight".