2248536800 has 36 divisors (see below), whose sum is σ = 5489242416. Its totient is φ = 899414400.

The previous prime is 2248536781. The next prime is 2248536821. The reversal of 2248536800 is 86358422.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1404536 + ... + 1406135.

It is an arithmetic number, because the mean of its divisors is an integer number (152478956).

Almost surely, 2^2248536800 is an apocalyptic number.

2248536800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248536800 is an abundant number, since it is smaller than the sum of its proper divisors (3240705616).

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

2248536800 is a wasteful number, since it uses less digits than its factorization.

2248536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810691 (or 2810678 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2248536800 is about 47418.7389119534. The cubic root of 2248536800 is about 1310.0865859673.

The spelling of 2248536800 in words is "two billion, two hundred forty-eight million, five hundred thirty-six thousand, eight hundred".