2401568 has 48 divisors (see below), whose sum is σ = 5334336. Its totient is φ = 1056000.

The previous prime is 2401561. The next prime is 2401571. The reversal of 2401568 is 8651042.

It is a super-3 number, since 3×2401568³ = 41553338237843767296, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2401561) 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, 9443 + ... + 9693.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

2^2401568 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 2401568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667168).

2401568 is an abundant number, since it is smaller than the sum of its proper divisors (2932768).

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

2401568 is a wasteful number, since it uses less digits than its factorization.

2401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2401568 is about 1549.6993256758. The cubic root of 2401568 is about 133.9157411929.

The spelling of 2401568 in words is "two million, four hundred one thousand, five hundred sixty-eight".