2255440 has 60 divisors (see below), whose sum is σ = 5788692. Its totient is φ = 816640.

The previous prime is 2255437. The next prime is 2255447. The reversal of 2255440 is 445522.

2255440 = T₁₄₅ + T₁₄₆ + ... + T₂₅₄.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 1628176 = 792^2 + 1276^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9564 + ... + 9796.

2^2255440 is an apocalyptic number.

2255440 is a gapful number since it is divisible by the number (20) 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 2255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346).

2255440 is an abundant number, since it is smaller than the sum of its proper divisors (3533252).

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

2255440 is a wasteful number, since it uses less digits than its factorization.

2255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2255440 is about 1501.8122385971. The cubic root of 2255440 is about 131.1425908856.

It can be divided in two parts, 225 and 5440, that added together give a palindrome (5665).

The spelling of 2255440 in words is "two million, two hundred fifty-five thousand, four hundred forty".