2270880219136 has 135 divisors (see below), whose sum is σ = 4641342956523. Its totient is φ = 1111039672320.

The previous prime is 2270880219131. The next prime is 2270880219163. The reversal of 2270880219136 is 6319120880722.

The square root of 2270880219136 is 1506944.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1337445990400 + 933434228736 = 1156480^2 + 966144^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2270880219136.

It is not an unprimeable number, because it can be changed into a prime (2270880219131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11766218656 + ... + 11766218848.

Almost surely, 2^{2270880219136} is an apocalyptic number.

2270880219136 is the 1506944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270880219136

2270880219136 is an abundant number, since it is smaller than the sum of its proper divisors (2370462737387).

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

2270880219136 is an frugal number, since it uses more digits than its factorization.

2270880219136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 2270880219136 by its sum of digits (49), we get a square (111273130737664 = 10548608²).

The spelling of 2270880219136 in words is "two trillion, two hundred seventy billion, eight hundred eighty million, two hundred nineteen thousand, one hundred thirty-six".