2248014336480 has 1728 divisors, whose sum is σ = 9601256125440. Its totient is φ = 489856942080.

The previous prime is 2248014336427. The next prime is 2248014336487. The reversal of 2248014336480 is 846334108422.

It is a happy number.

2248014336480 is a `hidden beast` number, since 2 + 2 + 4 + 80 + 1 + 433 + 64 + 80 = 666.

It is a super-2 number, since 2×2248014336480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248014336487) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3474519517 + ... + 3474520163.

It is an arithmetic number, because the mean of its divisors is an integer number (5556282480).

Almost surely, 2^{2248014336480} is an apocalyptic number.

2248014336480 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 2248014336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800628062720).

2248014336480 is an abundant number, since it is smaller than the sum of its proper divisors (7353241788960).

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

2248014336480 is a wasteful number, since it uses less digits than its factorization.

2248014336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2248014336480 in words is "two trillion, two hundred forty-eight billion, fourteen million, three hundred thirty-six thousand, four hundred eighty".