2261376 has 96 divisors (see below), whose sum is σ = 7054320. Its totient is φ = 691200.

The previous prime is 2261353. The next prime is 2261377. The reversal of 2261376 is 6731622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2261376² = 10227642826752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14901 + ... + 15051.

2^2261376 is an apocalyptic number.

2261376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527160).

2261376 is an abundant number, since it is smaller than the sum of its proper divisors (4792944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2261376 is a wasteful number, since it uses less digits than its factorization.

2261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2261376 is about 1503.7872189908. The cubic root of 2261376 is about 131.2575397029.

Adding to 2261376 its reverse (6731622), we get a palindrome (8992998).

The spelling of 2261376 in words is "two million, two hundred sixty-one thousand, three hundred seventy-six".