2801447461 has 2 divisors, whose sum is σ = 2801447462. Its totient is φ = 2801447460.

The previous prime is 2801447443. The next prime is 2801447471. The reversal of 2801447461 is 1647441082.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2452131361 + 349316100 = 49519^2 + 18690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801447461 - 2¹⁹ = 2800923173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2801447461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2801447431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400723730 + 1400723731.

It is an arithmetic number, because the mean of its divisors is an integer number (1400723731).

Almost surely, 2^2801447461 is an apocalyptic number.

It is an amenable number.

2801447461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2801447461 is an equidigital number, since it uses as much as digits as its factorization.

2801447461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2801447461 is about 52928.7016749892. The cubic root of 2801447461 is about 1409.7025781469.

The spelling of 2801447461 in words is "two billion, eight hundred one million, four hundred forty-seven thousand, four hundred sixty-one".