2448000 has 192 divisors, whose sum is σ = 9308520. Its totient is φ = 614400.

The previous prime is 2447981. The next prime is 2448007. The reversal of 2448000 is 8442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 1382976 = 1032^2 + 1176^2 .

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2448007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143992 + ... + 144008.

2^2448000 is an apocalyptic number.

2448000 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 2448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654260).

2448000 is an abundant number, since it is smaller than the sum of its proper divisors (6860520).

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

2448000 is a wasteful number, since it uses less digits than its factorization.

2448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2448000 is about 1564.6085772486. The cubic root of 2448000 is about 134.7732820161.

The spelling of 2448000 in words is "two million, four hundred forty-eight thousand".