2240400 has 60 divisors (see below), whose sum is σ = 7180592. Its totient is φ = 597120.

The previous prime is 2240389. The next prime is 2240431. The reversal of 2240400 is 40422.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 2133.

2^2240400 is an apocalyptic number.

2240400 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 2240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590296).

2240400 is an abundant number, since it is smaller than the sum of its proper divisors (4940192).

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

2240400 is a wasteful number, since it uses less digits than its factorization.

2240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2240400 is about 1496.7965793654. The cubic root of 2240400 is about 130.8504401971.

Adding to 2240400 its reverse (40422), we get a palindrome (2280822).

The spelling of 2240400 in words is "two million, two hundred forty thousand, four hundred".