2780347441 has 9 divisors (see below), whose sum is σ = 2826055449. Its totient is φ = 2735369604.

The previous prime is 2780347337. The next prime is 2780347457. The reversal of 2780347441 is 1447430872.

The square root of 2780347441 is 52729.

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

2780347441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2780347441 - 2²¹ = 2778250289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2780347394 and 2780347403.

It is not an unprimeable number, because it can be changed into a prime (2780347541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3532450 + ... + 3533236.

It is an arithmetic number, because the mean of its divisors is an integer number (314006161).

Almost surely, 2^2780347441 is an apocalyptic number.

2780347441 is the 52729-th square number.

2780347441 is the 26365-th centered octagonal number.

It is an amenable number.

2780347441 is a deficient number, since it is larger than the sum of its proper divisors (45708008).

2780347441 is an frugal number, since it uses more digits than its factorization.

2780347441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The cubic root of 2780347441 is about 1406.1544428211.

The spelling of 2780347441 in words is "two billion, seven hundred eighty million, three hundred forty-seven thousand, four hundred forty-one".