2272809517056 has 459 divisors, whose sum is σ = 7157156465277. Its totient is φ = 694694707200.

The previous prime is 2272809517037. The next prime is 2272809517091. The reversal of 2272809517056 is 6507159082722.

The square root of 2272809517056 is 1507584.

It is a perfect power (a square), and thus also a powerful number.

2272809517056 is a `hidden beast` number, since 2 + 2 + 72 + 8 + 0 + 9 + 517 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 336214425600 + 1936595091456 = 579840^2 + 1391616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2272809516993 and 2272809517011.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15051718581 + ... + 15051718731.

Almost surely, 2^{2272809517056} is an apocalyptic number.

2272809517056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2272809517056 is the 1507584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272809517056

2272809517056 is an abundant number, since it is smaller than the sum of its proper divisors (4884346948221).

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

2272809517056 is an frugal number, since it uses more digits than its factorization.

2272809517056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 2272809517056 in words is "two trillion, two hundred seventy-two billion, eight hundred nine million, five hundred seventeen thousand, fifty-six".