2440400 has 30 divisors (see below), whose sum is σ = 5864022. Its totient is φ = 976000.

The previous prime is 2440393. The next prime is 2440411. The reversal of 2440400 is 40442.

It can be written as a sum of positive squares in 3 ways, for example, as 238144 + 2202256 = 488^2 + 1484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2651 + ... + 3450.

2^2440400 is an apocalyptic number.

2440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440400 is an abundant number, since it is smaller than the sum of its proper divisors (3423622).

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

2440400 is a wasteful number, since it uses less digits than its factorization.

2440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2440400 is about 1562.1779668143. The cubic root of 2440400 is about 134.6336661723.

Adding to 2440400 its reverse (40442), we get a palindrome (2480842).

The spelling of 2440400 in words is "two million, four hundred forty thousand, four hundred".