2277724961 has 2 divisors, whose sum is σ = 2277724962. Its totient is φ = 2277724960.

The previous prime is 2277724949. The next prime is 2277724973. The reversal of 2277724961 is 1694277722.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2277724949) and next prime (2277724973).

It can be written as a sum of positive squares in only one way, i.e., 2271094336 + 6630625 = 47656^2 + 2575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2277724961 - 2¹⁴ = 2277708577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2277724901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1138862480 + 1138862481.

It is an arithmetic number, because the mean of its divisors is an integer number (1138862481).

Almost surely, 2^2277724961 is an apocalyptic number.

2277724961 is the 21344-th centered decagonal number.

It is an amenable number.

2277724961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2277724961 is an equidigital number, since it uses as much as digits as its factorization.

2277724961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 592704, while the sum is 47.

The square root of 2277724961 is about 47725.5168751476. The cubic root of 2277724961 is about 1315.7309590118.

The spelling of 2277724961 in words is "two billion, two hundred seventy-seven million, seven hundred twenty-four thousand, nine hundred sixty-one".