2248218720 has 768 divisors, whose sum is σ = 9562613760. Its totient is φ = 490659840.

The previous prime is 2248218677. The next prime is 2248218767. The reversal of 2248218720 is 278128422.

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 127 ways as a sum of consecutive naturals, for example, 97748629 + ... + 97748651.

It is an arithmetic number, because the mean of its divisors is an integer number (12451320).

Almost surely, 2^2248218720 is an apocalyptic number.

2248218720 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 2248218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781306880).

2248218720 is an abundant number, since it is smaller than the sum of its proper divisors (7314395040).

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

2248218720 is a wasteful number, since it uses less digits than its factorization.

2248218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2248218720 is about 47415.3848450057. The cubic root of 2248218720 is about 1310.0248077193.

The spelling of 2248218720 in words is "two billion, two hundred forty-eight million, two hundred eighteen thousand, seven hundred twenty".