2260800 has 126 divisors (see below), whose sum is σ = 8086598. Its totient is φ = 599040.

The previous prime is 2260793. The next prime is 2260801. The reversal of 2260800 is 80622.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 2214144 = 216^2 + 1488^2 .

It is a super-2 number, since 2×2260800² = 10222433280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14322 + ... + 14478.

2^2260800 is an apocalyptic number.

2260800 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 2260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043299).

2260800 is an abundant number, since it is smaller than the sum of its proper divisors (5825798).

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

2260800 is a wasteful number, since it uses less digits than its factorization.

2260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2260800 is about 1503.5956903370. The cubic root of 2260800 is about 131.2463944588.

The spelling of 2260800 in words is "two million, two hundred sixty thousand, eight hundred".