2401168 has 40 divisors (see below), whose sum is σ = 5803200. Its totient is φ = 935040.

The previous prime is 2401159. The next prime is 2401169. The reversal of 2401168 is 8611042.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2401169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 2206.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

2^2401168 is an apocalyptic number.

2401168 is a gapful number since it is divisible by the number (28) 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 2401168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901600).

2401168 is an abundant number, since it is smaller than the sum of its proper divisors (3402032).

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

2401168 is a wasteful number, since it uses less digits than its factorization.

2401168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2401168 is about 1549.5702630084. The cubic root of 2401168 is about 133.9083058742.

The spelling of 2401168 in words is "two million, four hundred one thousand, one hundred sixty-eight".