2611056 has 80 divisors (see below), whose sum is σ = 8134400. Its totient is φ = 705024.

The previous prime is 2611051. The next prime is 2611061. The reversal of 2611056 is 6501162.

2611056 = 270² + 271² + ... + 301².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2611051) and next prime (2611061).

It is a super-2 number, since 2×2611056² = 13635226870272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6180 + ... + 6588.

It is an arithmetic number, because the mean of its divisors is an integer number (101680).

2^2611056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067200).

2611056 is an abundant number, since it is smaller than the sum of its proper divisors (5523344).

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

2611056 is a wasteful number, since it uses less digits than its factorization.

2611056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2611056 is about 1615.8762328842. The cubic root of 2611056 is about 137.7015182871.

The spelling of 2611056 in words is "two million, six hundred eleven thousand, fifty-six".