2761005 has 16 divisors (see below), whose sum is σ = 4757760. Its totient is φ = 1359168.

The previous prime is 2760991. The next prime is 2761007. The reversal of 2761005 is 5001672.

It is not a de Polignac number, because 2761005 - 2¹¹ = 2758957 is a prime.

It is a super-2 number, since 2×2761005² = 15246297220050, which contains 22 as substring.

2761005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761007) 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, 6885 + ... + 7274.

It is an arithmetic number, because the mean of its divisors is an integer number (297360).

2^2761005 is an apocalyptic number.

It is an amenable number.

2761005 is a deficient number, since it is larger than the sum of its proper divisors (1996755).

2761005 is a wasteful number, since it uses less digits than its factorization.

2761005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2761005 is about 1661.6272145099. The cubic root of 2761005 is about 140.2886053212.

Adding to 2761005 its reverse (5001672), we get a palindrome (7762677).

The spelling of 2761005 in words is "two million, seven hundred sixty-one thousand, five".