2801479041 has 15 divisors (see below), whose sum is σ = 4185637203. Its totient is φ = 1867335120.

The previous prime is 2801479033. The next prime is 2801479049. The reversal of 2801479041 is 1409741082.

The square root of 2801479041 is 52929.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2801479033) and next prime (2801479049).

It can be written as a sum of positive squares in only one way, i.e., 2334919041 + 466560000 = 48321^2 + 21600^2 .

It is not a de Polignac number, because 2801479041 - 2³ = 2801479033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2801478987 and 2801479005.

It is not an unprimeable number, because it can be changed into a prime (2801479049) 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 in 14 ways as a sum of consecutive naturals, for example, 473421 + ... + 479301.

Almost surely, 2^2801479041 is an apocalyptic number.

2801479041 is the 52929-th square number.

2801479041 is the 26465-th centered octagonal number.

It is an amenable number.

2801479041 is a deficient number, since it is larger than the sum of its proper divisors (1384158162).

2801479041 is an frugal number, since it uses more digits than its factorization.

2801479041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 2801479041 is about 1409.7078751991.

Multiplying 2801479041 by its sum of digits (36), we get a square (100853245476 = 317574²).

The spelling of 2801479041 in words is "two billion, eight hundred one million, four hundred seventy-nine thousand, forty-one".