2798304201 has 81 divisors (see below), whose sum is σ = 5190885063. Its totient is φ = 1447316640.

The previous prime is 2798304149. The next prime is 2798304217. The reversal of 2798304201 is 1024038972.

The square root of 2798304201 is 52899.

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

It can be written as a sum of positive squares in only one way, i.e., 2606204601 + 192099600 = 51051^2 + 13860^2 .

It is not a de Polignac number, because 2798304201 - 2¹⁷ = 2798173129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2798304241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12219555 + ... + 12219783.

Almost surely, 2^2798304201 is an apocalyptic number.

2798304201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2798304201 is the 52899-th square number.

2798304201 is the 26450-th centered octagonal number.

It is an amenable number.

2798304201 is a deficient number, since it is larger than the sum of its proper divisors (2392580862).

2798304201 is a wasteful number, since it uses less digits than its factorization.

2798304201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 2798304201 is about 1409.1751460417.

Multiplying 2798304201 by its sum of digits (36), we get a square (100738951236 = 317394²).

The spelling of 2798304201 in words is "two billion, seven hundred ninety-eight million, three hundred four thousand, two hundred one".