2772117541 has 2 divisors, whose sum is σ = 2772117542. Its totient is φ = 2772117540.

The previous prime is 2772117533. The next prime is 2772117553. The reversal of 2772117541 is 1457112772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2018615041 + 753502500 = 44929^2 + 27450^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772117541 - 2³ = 2772117533 is a prime.

It is a super-2 number, since 2×2772117541² = 15369271322239773362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2772117541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772117571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386058770 + 1386058771.

It is an arithmetic number, because the mean of its divisors is an integer number (1386058771).

Almost surely, 2^2772117541 is an apocalyptic number.

It is an amenable number.

2772117541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772117541 is an equidigital number, since it uses as much as digits as its factorization.

2772117541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27440, while the sum is 37.

The square root of 2772117541 is about 52650.9025658630. The cubic root of 2772117541 is about 1404.7656538516.

The spelling of 2772117541 in words is "two billion, seven hundred seventy-two million, one hundred seventeen thousand, five hundred forty-one".