2248919066520 has 480 divisors, whose sum is σ = 8898959084400. Its totient is φ = 507842431488.

The previous prime is 2248919066519. The next prime is 2248919066557. The reversal of 2248919066520 is 256609198422.

2248919066520 is a `hidden beast` number, since 2 + 2 + 48 + 9 + 19 + 0 + 66 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13091746 + ... + 13262414.

Almost surely, 2^{2248919066520} is an apocalyptic number.

2248919066520 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 2248919066520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449479542200).

2248919066520 is an abundant number, since it is smaller than the sum of its proper divisors (6650040017880).

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

2248919066520 is a wasteful number, since it uses less digits than its factorization.

2248919066520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170789 (or 170769 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2248919066520 in words is "two trillion, two hundred forty-eight billion, nine hundred nineteen million, sixty-six thousand, five hundred twenty".