2240800 has 36 divisors (see below), whose sum is σ = 5472306. Its totient is φ = 896000.

The previous prime is 2240789. The next prime is 2240807. The reversal of 2240800 is 80422.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 571536 = 1292^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 601 + ... + 2200.

2^2240800 is an apocalyptic number.

2240800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240800 is an abundant number, since it is smaller than the sum of its proper divisors (3231506).

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

2240800 is a wasteful number, since it uses less digits than its factorization.

2240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2240800 is about 1496.9301920931. The cubic root of 2240800 is about 130.8582270598.

The spelling of 2240800 in words is "two million, two hundred forty thousand, eight hundred".