2270715752448 has 1560 divisors, whose sum is σ = 8489063937200. Its totient is φ = 599107829760.

The previous prime is 2270715752441. The next prime is 2270715752519. The reversal of 2270715752448 is 8442575170722.

2270715752448 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 7 + 1 + 575 + 24 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2270715752394 and 2270715752403.

It is not an unprimeable number, because it can be changed into a prime (2270715752441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9915789198 + ... + 9915789426.

Almost surely, 2^{2270715752448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270715752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244531968600).

2270715752448 is an abundant number, since it is smaller than the sum of its proper divisors (6218348184752).

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

2270715752448 is a wasteful number, since it uses less digits than its factorization.

2270715752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 2270715752448 in words is "two trillion, two hundred seventy billion, seven hundred fifteen million, seven hundred fifty-two thousand, four hundred forty-eight".