2260640 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 887040.

The previous prime is 2260633. The next prime is 2260649. The reversal of 2260640 is 460622.

It is a super-2 number, since 2×2260640² = 10220986419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11261 + ... + 11459.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2^2260640 is an apocalyptic number.

2260640 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 2260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2260640 is an abundant number, since it is smaller than the sum of its proper divisors (3182560).

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

2260640 is a wasteful number, since it uses less digits than its factorization.

2260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2260640 is about 1503.5424836033. The cubic root of 2260640 is about 131.2432982217.

The spelling of 2260640 in words is "two million, two hundred sixty thousand, six hundred forty".