2165226226020 has 216 divisors, whose sum is σ = 7774535074488. Its totient is φ = 484526085120.

The previous prime is 2165226225889. The next prime is 2165226226073. The reversal of 2165226226020 is 206226225612.

2165226226020 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 2 + 2 + 622 + 6 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 261024940836 + 1904201285184 = 510906^2 + 1379928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3540457 + ... + 4106736.

Almost surely, 2^{2165226226020} is an apocalyptic number.

2165226226020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165226226020 is an abundant number, since it is smaller than the sum of its proper divisors (5609308848468).

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

2165226226020 is a wasteful number, since it uses less digits than its factorization.

2165226226020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647243 (or 7647227 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2165226226020 in words is "two trillion, one hundred sixty-five billion, two hundred twenty-six million, two hundred twenty-six thousand, twenty".