2400768 has 60 divisors (see below), whose sum is σ = 6942078. Its totient is φ = 798720.

The previous prime is 2400767. The next prime is 2400773. The reversal of 2400768 is 8670042.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 186624 = 1488^2 + 432^2 .

It is not an unprimeable number, because it can be changed into a prime (2400767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4348 + ... + 4868.

2^2400768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471039).

2400768 is an abundant number, since it is smaller than the sum of its proper divisors (4541310).

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

2400768 is an equidigital number, since it uses as much as digits as its factorization.

2400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2400768 is about 1549.4411895906. The cubic root of 2400768 is about 133.9008697296.

The spelling of 2400768 in words is "two million, four hundred thousand, seven hundred sixty-eight".