2228514538041 has 135 divisors (see below), whose sum is σ = 3891459579007. Its totient is φ = 1269733829760.

The previous prime is 2228514538021. The next prime is 2228514538067. The reversal of 2228514538041 is 1408354158222.

The square root of 2228514538041 is 1492821.

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

2228514538041 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 514 + 53 + 80 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1735002668025 + 493511870016 = 1317195^2 + 702504^2 .

It is not a de Polignac number, because 2228514538041 - 2¹⁷ = 2228514406969 is a prime.

It is a super-2 number, since 2×2228514538041² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2228514538021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2512417300 + ... + 2512418186.

Almost surely, 2^{2228514538041} is an apocalyptic number.

2228514538041 is the 1492821-st square number.

2228514538041 is the 746411-st centered octagonal number.

It is an amenable number.

2228514538041 is a deficient number, since it is larger than the sum of its proper divisors (1662945040966).

2228514538041 is an frugal number, since it uses more digits than its factorization.

2228514538041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2228514538041 in words is "two trillion, two hundred twenty-eight billion, five hundred fourteen million, five hundred thirty-eight thousand, forty-one".