2401152 has 96 divisors (see below), whose sum is σ = 7093080. Its totient is φ = 718848.

The previous prime is 2401127. The next prime is 2401159. The reversal of 2401152 is 2511042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401159) 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 11 ways as a sum of consecutive naturals, for example, 64878 + ... + 64914.

2^2401152 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 2401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546540).

2401152 is an abundant number, since it is smaller than the sum of its proper divisors (4691928).

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

2401152 is a wasteful number, since it uses less digits than its factorization.

2401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2401152 is about 1549.5651002781. The cubic root of 2401152 is about 133.9080084443.

Adding to 2401152 its reverse (2511042), we get a palindrome (4912194).

The spelling of 2401152 in words is "two million, four hundred one thousand, one hundred fifty-two".