2400816 has 40 divisors (see below), whose sum is σ = 6767424. Its totient is φ = 727360.

The previous prime is 2400793. The next prime is 2400817. The reversal of 2400816 is 6180042.

It is a junction number, because it is equal to n+sod(n) for n = 2400792 and 2400801.

It is not an unprimeable number, because it can be changed into a prime (2400817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746 + ... + 2801.

2^2400816 is an apocalyptic number.

It is an amenable number.

2400816 is an abundant number, since it is smaller than the sum of its proper divisors (4366608).

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

2400816 is a wasteful number, since it uses less digits than its factorization.

2400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2400816 is about 1549.4566789685. The cubic root of 2400816 is about 133.9017621106.

Adding to 2400816 its reverse (6180042), we get a palindrome (8580858).

The spelling of 2400816 in words is "two million, four hundred thousand, eight hundred sixteen".