2247648117120 has 1024 divisors, whose sum is σ = 9315834624000. Its totient is φ = 501525872640.

The previous prime is 2247648117109. The next prime is 2247648117167. The reversal of 2247648117120 is 217118467422.

2247648117120 is a `hidden beast` number, since 2 + 2 + 47 + 6 + 481 + 1 + 7 + 120 = 666.

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

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, 1468090755 + ... + 1468092285.

It is an arithmetic number, because the mean of its divisors is an integer number (9097494750).

Almost surely, 2^{2247648117120} is an apocalyptic number.

2247648117120 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 2247648117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657917312000).

2247648117120 is an abundant number, since it is smaller than the sum of its proper divisors (7068186506880).

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

2247648117120 is a wasteful number, since it uses less digits than its factorization.

2247648117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2247648117120 in words is "two trillion, two hundred forty-seven billion, six hundred forty-eight million, one hundred seventeen thousand, one hundred twenty".