2122761 has 16 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 1362768.

The previous prime is 2122753. The next prime is 2122777. The reversal of 2122761 is 1672212.

It is not a de Polignac number, because 2122761 - 2³ = 2122753 is a prime.

It is a super-2 number, since 2×2122761² = 9012228526242, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁰ + 1 + 2²⁰ + 2²⁰ + 7⁵ + 6⁵ + 1 .

It is not an unprimeable number, because it can be changed into a prime (2122711) 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, 11770 + ... + 11948.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

2^2122761 is an apocalyptic number.

It is an amenable number.

2122761 is a deficient number, since it is larger than the sum of its proper divisors (814839).

2122761 is a wasteful number, since it uses less digits than its factorization.

2122761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its digits is 336, while the sum is 21.

The square root of 2122761 is about 1456.9698006479. The cubic root of 2122761 is about 128.5189099435.

Adding to 2122761 its reverse (1672212), we get a palindrome (3794973).

The spelling of 2122761 in words is "two million, one hundred twenty-two thousand, seven hundred sixty-one".