2269800 has 144 divisors (see below), whose sum is σ = 8293740. Its totient is φ = 552960.

The previous prime is 2269777. The next prime is 2269807. The reversal of 2269800 is 89622.

It can be written as a sum of positive squares in 6 ways, for example, as 381924 + 1887876 = 618^2 + 1374^2 .

It is not an unprimeable number, because it can be changed into a prime (2269807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23352 + ... + 23448.

2^2269800 is an apocalyptic number.

2269800 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 2269800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146870).

2269800 is an abundant number, since it is smaller than the sum of its proper divisors (6023940).

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

2269800 is a wasteful number, since it uses less digits than its factorization.

2269800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2269800 is about 1506.5855435388. The cubic root of 2269800 is about 131.4203230938.

The spelling of 2269800 in words is "two million, two hundred sixty-nine thousand, eight hundred".