2248735872 has 64 divisors (see below), whose sum is σ = 5986632960. Its totient is φ = 747893760.

The previous prime is 2248735831. The next prime is 2248735889. The reversal of 2248735872 is 2785378422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170673 + ... + 183375.

It is an arithmetic number, because the mean of its divisors is an integer number (93541140).

Almost surely, 2^2248735872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993316480).

2248735872 is an abundant number, since it is smaller than the sum of its proper divisors (3737897088).

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

2248735872 is a wasteful number, since it uses less digits than its factorization.

2248735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13169 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 2248735872 is about 47420.8379512636. The cubic root of 2248735872 is about 1310.1252472367.

The spelling of 2248735872 in words is "two billion, two hundred forty-eight million, seven hundred thirty-five thousand, eight hundred seventy-two".