2541024 has 96 divisors (see below), whose sum is σ = 7892640. Its totient is φ = 792576.

The previous prime is 2541023. The next prime is 2541029. The reversal of 2541024 is 4201452.

2541024 is digitally balanced in base 5, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2540988 and 2541006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14602 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (82215).

2^2541024 is an apocalyptic number.

2541024 is a gapful number since it is divisible by the number (24) 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 2541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946320).

2541024 is an abundant number, since it is smaller than the sum of its proper divisors (5351616).

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

2541024 is a wasteful number, since it uses less digits than its factorization.

2541024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2541024 is about 1594.0589700510. The cubic root of 2541024 is about 136.4592318777.

Adding to 2541024 its reverse (4201452), we get a palindrome (6742476).

The spelling of 2541024 in words is "two million, five hundred forty-one thousand, twenty-four".