2657226 has 64 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 699840.

The previous prime is 2657203. The next prime is 2657231. The reversal of 2657226 is 6227562.

It is a d-powerful number, because it can be written as 2¹⁰ + 6⁴ + 5⁶ + 7² + 2¹⁸ + 2²¹ + 6⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2657193 and 2657202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16221 + ... + 16383.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

2^2657226 is an apocalyptic number.

2657226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2657226 is an abundant number, since it is smaller than the sum of its proper divisors (3955254).

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

2657226 is a wasteful number, since it uses less digits than its factorization.

2657226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its digits is 10080, while the sum is 30.

The square root of 2657226 is about 1630.0999969327. The cubic root of 2657226 is about 138.5084165581.

The spelling of 2657226 in words is "two million, six hundred fifty-seven thousand, two hundred twenty-six".