2448082000 has 160 divisors (see below), whose sum is σ = 7286033664. Its totient is φ = 774720000.

The previous prime is 2448081983. The next prime is 2448082001. The reversal of 2448082000 is 2808442.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2448082000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448082001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 175275 + ... + 188725.

Almost surely, 2^2448082000 is an apocalyptic number.

2448082000 is a gapful number since it is divisible by the number (20) 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 2448082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643016832).

2448082000 is an abundant number, since it is smaller than the sum of its proper divisors (4837951664).

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

2448082000 is a wasteful number, since it uses less digits than its factorization.

2448082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13494 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2448082000 is about 49478.0961638582. The cubic root of 2448082000 is about 1347.7478682081.

The spelling of 2448082000 in words is "two billion, four hundred forty-eight million, eighty-two thousand".