2400040416 has 48 divisors (see below), whose sum is σ = 6670705104. Its totient is φ = 752953344.

The previous prime is 2400040397. The next prime is 2400040451. The reversal of 2400040416 is 6140400042.

2400040416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 2400040392 and 2400040401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733675 + ... + 736938.

It is an arithmetic number, because the mean of its divisors is an integer number (138973023).

Almost surely, 2^2400040416 is an apocalyptic number.

It is an amenable number.

2400040416 is an abundant number, since it is smaller than the sum of its proper divisors (4270664688).

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

2400040416 is a wasteful number, since it uses less digits than its factorization.

2400040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470643 (or 1470635 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2400040416 is about 48990.2073479997. The cubic root of 2400040416 is about 1338.8734156227.

Adding to 2400040416 its reverse (6140400042), we get a palindrome (8540440458).

The spelling of 2400040416 in words is "two billion, four hundred million, forty thousand, four hundred sixteen".