2277561 has 16 divisors (see below), whose sum is σ = 3568320. Its totient is φ = 1273920.

The previous prime is 2277553. The next prime is 2277571. The reversal of 2277561 is 1657722.

2277561 = T₆₃₈ + T₆₃₉ + ... + T₆₄₈.

It is not a de Polignac number, because 2277561 - 2³ = 2277553 is a prime.

It is an Ulam number.

2277561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2277521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 3083.

It is an arithmetic number, because the mean of its divisors is an integer number (223020).

2^2277561 is an apocalyptic number.

It is an amenable number.

2277561 is a deficient number, since it is larger than the sum of its proper divisors (1290759).

2277561 is a wasteful number, since it uses less digits than its factorization.

2277561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336.

The product of its digits is 5880, while the sum is 30.

The square root of 2277561 is about 1509.1590373450. The cubic root of 2277561 is about 131.5699387488.

The spelling of 2277561 in words is "two million, two hundred seventy-seven thousand, five hundred sixty-one".