2221793541 has 24 divisors (see below), whose sum is σ = 3575505024. Its totient is φ = 1317888960.

The previous prime is 2221793513. The next prime is 2221793569. The reversal of 2221793541 is 1453971222.

2221793541 is a `hidden beast` number, since 2 + 2 + 21 + 7 + 93 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (2221793513) and next prime (2221793569).

It is not a de Polignac number, because 2221793541 - 2⁹ = 2221793029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221793496 and 2221793505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221793141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234096 + ... + 243401.

It is an arithmetic number, because the mean of its divisors is an integer number (148979376).

Almost surely, 2^2221793541 is an apocalyptic number.

It is an amenable number.

2221793541 is a deficient number, since it is larger than the sum of its proper divisors (1353711483).

2221793541 is a wasteful number, since it uses less digits than its factorization.

2221793541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477561 (or 477558 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2221793541 is about 47135.9050088147. The cubic root of 2221793541 is about 1304.8719634811.

The spelling of 2221793541 in words is "two billion, two hundred twenty-one million, seven hundred ninety-three thousand, five hundred forty-one".