2248849824 has 96 divisors (see below), whose sum is σ = 6375688704. Its totient is φ = 689955840.

The previous prime is 2248849793. The next prime is 2248849829. The reversal of 2248849824 is 4289488422.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2248849829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463089 + ... + 467919.

It is an arithmetic number, because the mean of its divisors is an integer number (66413424).

Almost surely, 2^2248849824 is an apocalyptic number.

2248849824 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 2248849824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187844352).

2248849824 is an abundant number, since it is smaller than the sum of its proper divisors (4126838880).

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

2248849824 is a wasteful number, since it uses less digits than its factorization.

2248849824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5222 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 2248849824 is about 47422.0394331581. The cubic root of 2248849824 is about 1310.1473765394.

The spelling of 2248849824 in words is "two billion, two hundred forty-eight million, eight hundred forty-nine thousand, eight hundred twenty-four".