2248814400 has 672 divisors, whose sum is σ = 9288548352. Its totient is φ = 464486400.

The previous prime is 2248814377. The next prime is 2248814459. The reversal of 2248814400 is 44188422.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 17707137 + ... + 17707263.

Almost surely, 2^2248814400 is an apocalyptic number.

2248814400 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 2248814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644274176).

2248814400 is an abundant number, since it is smaller than the sum of its proper divisors (7039733952).

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

2248814400 is a wasteful number, since it uses less digits than its factorization.

2248814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2248814400 is about 47421.6659344650. The cubic root of 2248814400 is about 1310.1404973333.

The spelling of 2248814400 in words is "two billion, two hundred forty-eight million, eight hundred fourteen thousand, four hundred".