2248773120 has 480 divisors, whose sum is σ = 8962462080. Its totient is φ = 515358720.

The previous prime is 2248773061. The next prime is 2248773133. The reversal of 2248773120 is 213778422.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4815127 + ... + 4815593.

It is an arithmetic number, because the mean of its divisors is an integer number (18671796).

Almost surely, 2^2248773120 is an apocalyptic number.

2248773120 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 2248773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481231040).

2248773120 is an abundant number, since it is smaller than the sum of its proper divisors (6713688960).

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

2248773120 is a wasteful number, since it uses less digits than its factorization.

2248773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2248773120 is about 47421.2306883742. The cubic root of 2248773120 is about 1310.1324808231.

The spelling of 2248773120 in words is "two billion, two hundred forty-eight million, seven hundred seventy-three thousand, one hundred twenty".