2248733609280 has 336 divisors, whose sum is σ = 7775712322560. Its totient is φ = 596492107776.

The previous prime is 2248733609267. The next prime is 2248733609299. The reversal of 2248733609280 is 829063378422.

2248733609280 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 7 + 3 + 3 + 609 + 28 + 0 = 666.

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, 447684849 + ... + 447689871.

It is an arithmetic number, because the mean of its divisors is an integer number (23142000960).

Almost surely, 2^{2248733609280} is an apocalyptic number.

2248733609280 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 2248733609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887856161280).

2248733609280 is an abundant number, since it is smaller than the sum of its proper divisors (5526978713280).

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

2248733609280 is a wasteful number, since it uses less digits than its factorization.

2248733609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2248733609280 in words is "two trillion, two hundred forty-eight billion, seven hundred thirty-three million, six hundred nine thousand, two hundred eighty".