2780938801 has 2 divisors, whose sum is σ = 2780938802. Its totient is φ = 2780938800.

The previous prime is 2780938757. The next prime is 2780938807. The reversal of 2780938801 is 1088390872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2745655201 + 35283600 = 52399^2 + 5940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2780938801 - 2⁹ = 2780938289 is a prime.

It is a super-2 number, since 2×2780938801² = 15467241229814635202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2780938807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1390469400 + 1390469401.

It is an arithmetic number, because the mean of its divisors is an integer number (1390469401).

Almost surely, 2^2780938801 is an apocalyptic number.

It is an amenable number.

2780938801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2780938801 is an equidigital number, since it uses as much as digits as its factorization.

2780938801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 2780938801 is about 52734.6072423034. The cubic root of 2780938801 is about 1406.2541287490.

The spelling of 2780938801 in words is "two billion, seven hundred eighty million, nine hundred thirty-eight thousand, eight hundred one".