2448264 has 128 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 601344.

The previous prime is 2448263. The next prime is 2448269. The reversal of 2448264 is 4628442.

It is a super-2 number, since 2×2448264² = 11987993227392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁹ + 4⁵ + 4⁶ + 8 + 2²¹ + 6⁷ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (2448263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41467 + ... + 41525.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2^2448264 is an apocalyptic number.

2448264 is a gapful number since it is divisible by the number (24) 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 2448264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2448264 is an abundant number, since it is smaller than the sum of its proper divisors (5615736).

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

2448264 is a wasteful number, since it uses less digits than its factorization.

2448264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2448264 is about 1564.6929411230. The cubic root of 2448264 is about 134.7781266331.

The spelling of 2448264 in words is "two million, four hundred forty-eight thousand, two hundred sixty-four".