2447728120320 has 640 divisors, whose sum is σ = 9139547602944. Its totient is φ = 547247161344.

The previous prime is 2447728120291. The next prime is 2447728120363. The reversal of 2447728120320 is 230218277442.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091273119 + ... + 1091275361.

Almost surely, 2^{2447728120320} is an apocalyptic number.

2447728120320 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 2447728120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569773801472).

2447728120320 is an abundant number, since it is smaller than the sum of its proper divisors (6691819482624).

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

2447728120320 is a wasteful number, since it uses less digits than its factorization.

2447728120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 2447728120320 in words is "two trillion, four hundred forty-seven billion, seven hundred twenty-eight million, one hundred twenty thousand, three hundred twenty".